{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import StandardScaler, Imputer\n",
    "import sklearn\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm\n",
    "\n",
    "import loadnhanes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "os.environ['CUDA_VISIBLE_DEVICES'] = '0'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "tf.enable_eager_execution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning! Loading NHANES I data from cache (X.pkl and y.npy)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/homes/gws/psturm/interaction_effects/nhanes/loadnhanes.py:676: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  Xtrain[col] /= sigma[col]\n",
      "/homes/gws/psturm/interaction_effects/nhanes/loadnhanes.py:677: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  Xtraintrain[col] /= sigma[col]\n",
      "/homes/gws/psturm/interaction_effects/nhanes/loadnhanes.py:678: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  Xtrainvalid[col] /= sigma[col]\n",
      "/homes/gws/psturm/interaction_effects/nhanes/loadnhanes.py:679: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  Xtest[col] /= sigma[col]\n",
      "/homes/gws/psturm/miniconda3/lib/python3.7/site-packages/pandas/core/frame.py:4259: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  **kwargs\n"
     ]
    }
   ],
   "source": [
    "(X, y),\\\n",
    "(Xtrain, ytrain), \\\n",
    "(Xtraintrain, ytraintrain), \\\n",
    "(Xtrainvalid, ytrainvalid), \\\n",
    "(Xtest, ytest) = loadnhanes.load_standardized()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
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       "       sex_isFemale       age  physical_activity  physical_activity_isBlank  \\\n",
       "12254     -1.215443 -1.478049           0.051037                  -0.143639   \n",
       "13063     -1.215443 -1.478049           0.051037                  -0.143639   \n",
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       "12087      0.822674  0.065072           1.065181                  -0.143639   \n",
       "\n",
       "       serum_albumin  serum_albumin_isBlank  alkaline_phosphatase  \\\n",
       "12254       0.000000               1.745404             -1.185358   \n",
       "13063       0.000000               1.745404             -0.794547   \n",
       "11794       0.000000               1.745404             -0.325574   \n",
       "6289       -1.703457              -0.572884              0.000000   \n",
       "12087       0.000000               1.745404              0.377886   \n",
       "\n",
       "       alkaline_phosphatase_isUnacceptable  \\\n",
       "12254                            -0.158079   \n",
       "13063                            -0.158079   \n",
       "11794                            -0.158079   \n",
       "6289                             -0.158079   \n",
       "12087                            -0.158079   \n",
       "\n",
       "       alkaline_phosphatase_isBlankbutapplicable  \\\n",
       "12254                                  -0.009315   \n",
       "13063                                  -0.009315   \n",
       "11794                                  -0.009315   \n",
       "6289                                   -0.009315   \n",
       "12087                                  -0.009315   \n",
       "\n",
       "       alkaline_phosphatase_isTestnotdone  ...  \\\n",
       "12254                           -0.115602  ...   \n",
       "13063                           -0.115602  ...   \n",
       "11794                           -0.115602  ...   \n",
       "6289                            -0.115602  ...   \n",
       "12087                           -0.115602  ...   \n",
       "\n",
       "       uric_acid_isBlankbutapplicable  uric_acid_isTestnotdone  \\\n",
       "12254                       -0.009315                -0.118647   \n",
       "13063                       -0.009315                -0.118647   \n",
       "11794                       -0.009315                -0.118647   \n",
       "6289                        -0.009315                -0.118647   \n",
       "12087                       -0.009315                -0.118647   \n",
       "\n",
       "       uric_acid_isBlank  systolic_blood_pressure  \\\n",
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       "13063          -1.046412                -0.094998   \n",
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       "6289            0.955563                -0.584558   \n",
       "12087          -1.046412                -0.176591   \n",
       "\n",
       "       systolic_blood_pressure_isBlank  pulse_pressure    weight  \\\n",
       "12254                        -0.049348        0.178467  1.433455   \n",
       "13063                        -0.049348       -0.486450 -0.469950   \n",
       "11794                        -0.049348        0.000000  0.000000   \n",
       "6289                         -0.049348       -0.043172  0.481753   \n",
       "12087                        -0.049348       -0.597269 -0.735013   \n",
       "\n",
       "       weight_isBlank    height  height_isBlank  \n",
       "12254       -0.069873  1.716399       -0.059748  \n",
       "13063       -0.069873  0.802764       -0.059748  \n",
       "11794       14.310339  0.000000       16.735389  \n",
       "6289        -0.069873  0.063155       -0.059748  \n",
       "12087       -0.069873 -1.383433       -0.059748  \n",
       "\n",
       "[5 rows x 118 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Xtraintrain.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:Falling back from v2 loop because of error: Failed to find data adapter that can handle input: <class 'pandas.core.frame.DataFrame'>, <class 'NoneType'>\n",
      "WARNING:tensorflow:From /homes/gws/psturm/miniconda3/lib/python3.7/site-packages/tensorflow_core/python/ops/math_grad.py:1424: where (from tensorflow.python.ops.array_ops) is deprecated and will be removed in a future version.\n",
      "Instructions for updating:\n",
      "Use tf.where in 2.0, which has the same broadcast rule as np.where\n",
      "Train on 9220 samples, validate on 2305 samples\n",
      "Epoch 1/50\n",
      "9220/9220 - 2s - loss: 0.6608 - binary_accuracy: 0.6424 - auc: 0.5838 - val_loss: 0.5439 - val_binary_accuracy: 0.7280 - val_auc: 0.8402\n",
      "Epoch 2/50\n",
      "9220/9220 - 0s - loss: 0.5720 - binary_accuracy: 0.7081 - auc: 0.7344 - val_loss: 0.4542 - val_binary_accuracy: 0.8030 - val_auc: 0.8653\n",
      "Epoch 3/50\n",
      "9220/9220 - 0s - loss: 0.5233 - binary_accuracy: 0.7600 - auc: 0.7994 - val_loss: 0.4326 - val_binary_accuracy: 0.8208 - val_auc: 0.8769\n",
      "Epoch 4/50\n",
      "9220/9220 - 0s - loss: 0.4936 - binary_accuracy: 0.7847 - auc: 0.8228 - val_loss: 0.4320 - val_binary_accuracy: 0.8230 - val_auc: 0.8804\n",
      "Epoch 5/50\n",
      "9220/9220 - 0s - loss: 0.4765 - binary_accuracy: 0.7906 - auc: 0.8365 - val_loss: 0.4260 - val_binary_accuracy: 0.8187 - val_auc: 0.8799\n",
      "Epoch 6/50\n",
      "9220/9220 - 0s - loss: 0.4709 - binary_accuracy: 0.7982 - auc: 0.8417 - val_loss: 0.4185 - val_binary_accuracy: 0.8269 - val_auc: 0.8830\n",
      "Epoch 7/50\n",
      "9220/9220 - 0s - loss: 0.4611 - binary_accuracy: 0.8029 - auc: 0.8483 - val_loss: 0.4262 - val_binary_accuracy: 0.8278 - val_auc: 0.8836\n",
      "Epoch 8/50\n",
      "9220/9220 - 0s - loss: 0.4576 - binary_accuracy: 0.8059 - auc: 0.8520 - val_loss: 0.4293 - val_binary_accuracy: 0.8265 - val_auc: 0.8847\n",
      "Epoch 9/50\n",
      "9220/9220 - 0s - loss: 0.4506 - binary_accuracy: 0.8120 - auc: 0.8556 - val_loss: 0.4237 - val_binary_accuracy: 0.8278 - val_auc: 0.8838\n",
      "Epoch 10/50\n",
      "9220/9220 - 0s - loss: 0.4387 - binary_accuracy: 0.8191 - auc: 0.8616 - val_loss: 0.4074 - val_binary_accuracy: 0.8330 - val_auc: 0.8846\n",
      "Epoch 11/50\n",
      "9220/9220 - 0s - loss: 0.4463 - binary_accuracy: 0.8132 - auc: 0.8559 - val_loss: 0.4326 - val_binary_accuracy: 0.8278 - val_auc: 0.8821\n",
      "Epoch 12/50\n",
      "9220/9220 - 0s - loss: 0.4371 - binary_accuracy: 0.8169 - auc: 0.8629 - val_loss: 0.4145 - val_binary_accuracy: 0.8256 - val_auc: 0.8831\n",
      "Epoch 13/50\n",
      "9220/9220 - 0s - loss: 0.4334 - binary_accuracy: 0.8256 - auc: 0.8651 - val_loss: 0.4140 - val_binary_accuracy: 0.8286 - val_auc: 0.8826\n",
      "Epoch 14/50\n",
      "9220/9220 - 0s - loss: 0.4304 - binary_accuracy: 0.8204 - auc: 0.8670 - val_loss: 0.4124 - val_binary_accuracy: 0.8291 - val_auc: 0.8818\n",
      "Epoch 15/50\n",
      "9220/9220 - 0s - loss: 0.4271 - binary_accuracy: 0.8231 - auc: 0.8679 - val_loss: 0.4116 - val_binary_accuracy: 0.8278 - val_auc: 0.8826\n",
      "Epoch 16/50\n",
      "9220/9220 - 0s - loss: 0.4325 - binary_accuracy: 0.8221 - auc: 0.8645 - val_loss: 0.4174 - val_binary_accuracy: 0.8230 - val_auc: 0.8819\n",
      "Epoch 17/50\n",
      "9220/9220 - 0s - loss: 0.4295 - binary_accuracy: 0.8236 - auc: 0.8662 - val_loss: 0.4109 - val_binary_accuracy: 0.8273 - val_auc: 0.8824\n",
      "Epoch 18/50\n",
      "9220/9220 - 0s - loss: 0.4279 - binary_accuracy: 0.8213 - auc: 0.8678 - val_loss: 0.4168 - val_binary_accuracy: 0.8269 - val_auc: 0.8822\n",
      "Epoch 19/50\n",
      "9220/9220 - 0s - loss: 0.4224 - binary_accuracy: 0.8261 - auc: 0.8711 - val_loss: 0.4116 - val_binary_accuracy: 0.8273 - val_auc: 0.8826\n",
      "Epoch 20/50\n",
      "9220/9220 - 0s - loss: 0.4213 - binary_accuracy: 0.8253 - auc: 0.8713 - val_loss: 0.4073 - val_binary_accuracy: 0.8308 - val_auc: 0.8822\n",
      "Epoch 21/50\n",
      "9220/9220 - 0s - loss: 0.4257 - binary_accuracy: 0.8273 - auc: 0.8697 - val_loss: 0.4059 - val_binary_accuracy: 0.8286 - val_auc: 0.8823\n",
      "Epoch 22/50\n",
      "9220/9220 - 0s - loss: 0.4256 - binary_accuracy: 0.8302 - auc: 0.8698 - val_loss: 0.4113 - val_binary_accuracy: 0.8282 - val_auc: 0.8828\n",
      "Epoch 23/50\n",
      "9220/9220 - 0s - loss: 0.4170 - binary_accuracy: 0.8293 - auc: 0.8728 - val_loss: 0.3999 - val_binary_accuracy: 0.8286 - val_auc: 0.8835\n",
      "Epoch 24/50\n",
      "9220/9220 - 0s - loss: 0.4166 - binary_accuracy: 0.8344 - auc: 0.8743 - val_loss: 0.4210 - val_binary_accuracy: 0.8260 - val_auc: 0.8810\n",
      "Epoch 25/50\n",
      "9220/9220 - 0s - loss: 0.4168 - binary_accuracy: 0.8300 - auc: 0.8740 - val_loss: 0.4036 - val_binary_accuracy: 0.8286 - val_auc: 0.8823\n",
      "Epoch 26/50\n",
      "9220/9220 - 0s - loss: 0.4214 - binary_accuracy: 0.8302 - auc: 0.8714 - val_loss: 0.4191 - val_binary_accuracy: 0.8282 - val_auc: 0.8815\n",
      "Epoch 27/50\n",
      "9220/9220 - 0s - loss: 0.4152 - binary_accuracy: 0.8310 - auc: 0.8771 - val_loss: 0.4040 - val_binary_accuracy: 0.8239 - val_auc: 0.8828\n",
      "Epoch 28/50\n",
      "9220/9220 - 0s - loss: 0.4116 - binary_accuracy: 0.8325 - auc: 0.8774 - val_loss: 0.4131 - val_binary_accuracy: 0.8286 - val_auc: 0.8829\n",
      "Epoch 29/50\n",
      "9220/9220 - 0s - loss: 0.4123 - binary_accuracy: 0.8330 - auc: 0.8771 - val_loss: 0.4064 - val_binary_accuracy: 0.8265 - val_auc: 0.8831\n",
      "Epoch 30/50\n",
      "9220/9220 - 0s - loss: 0.4145 - binary_accuracy: 0.8319 - auc: 0.8767 - val_loss: 0.4035 - val_binary_accuracy: 0.8278 - val_auc: 0.8830\n",
      "Epoch 31/50\n",
      "9220/9220 - 0s - loss: 0.4119 - binary_accuracy: 0.8328 - auc: 0.8782 - val_loss: 0.4006 - val_binary_accuracy: 0.8265 - val_auc: 0.8826\n",
      "Epoch 32/50\n",
      "9220/9220 - 0s - loss: 0.4097 - binary_accuracy: 0.8343 - auc: 0.8791 - val_loss: 0.4002 - val_binary_accuracy: 0.8286 - val_auc: 0.8832\n",
      "Epoch 33/50\n",
      "9220/9220 - 0s - loss: 0.4170 - binary_accuracy: 0.8302 - auc: 0.8766 - val_loss: 0.4015 - val_binary_accuracy: 0.8265 - val_auc: 0.8815\n",
      "Epoch 34/50\n",
      "9220/9220 - 0s - loss: 0.4111 - binary_accuracy: 0.8331 - auc: 0.8774 - val_loss: 0.4037 - val_binary_accuracy: 0.8286 - val_auc: 0.8813\n",
      "Epoch 35/50\n",
      "9220/9220 - 0s - loss: 0.4126 - binary_accuracy: 0.8326 - auc: 0.8780 - val_loss: 0.3990 - val_binary_accuracy: 0.8286 - val_auc: 0.8814\n",
      "Epoch 36/50\n",
      "9220/9220 - 0s - loss: 0.4083 - binary_accuracy: 0.8328 - auc: 0.8794 - val_loss: 0.4010 - val_binary_accuracy: 0.8265 - val_auc: 0.8815\n",
      "Epoch 37/50\n",
      "9220/9220 - 0s - loss: 0.4092 - binary_accuracy: 0.8326 - auc: 0.8798 - val_loss: 0.4022 - val_binary_accuracy: 0.8260 - val_auc: 0.8823\n",
      "Epoch 38/50\n",
      "9220/9220 - 0s - loss: 0.4094 - binary_accuracy: 0.8342 - auc: 0.8795 - val_loss: 0.4093 - val_binary_accuracy: 0.8278 - val_auc: 0.8816\n",
      "Epoch 39/50\n",
      "9220/9220 - 0s - loss: 0.4043 - binary_accuracy: 0.8348 - auc: 0.8826 - val_loss: 0.4014 - val_binary_accuracy: 0.8252 - val_auc: 0.8807\n",
      "Epoch 40/50\n",
      "9220/9220 - 0s - loss: 0.4066 - binary_accuracy: 0.8398 - auc: 0.8816 - val_loss: 0.4028 - val_binary_accuracy: 0.8286 - val_auc: 0.8830\n",
      "Epoch 41/50\n",
      "9220/9220 - 0s - loss: 0.4023 - binary_accuracy: 0.8350 - auc: 0.8844 - val_loss: 0.4145 - val_binary_accuracy: 0.8295 - val_auc: 0.8828\n",
      "Epoch 42/50\n",
      "9220/9220 - 0s - loss: 0.4060 - binary_accuracy: 0.8347 - auc: 0.8822 - val_loss: 0.3989 - val_binary_accuracy: 0.8278 - val_auc: 0.8838\n",
      "Epoch 43/50\n",
      "9220/9220 - 0s - loss: 0.4092 - binary_accuracy: 0.8335 - auc: 0.8795 - val_loss: 0.3977 - val_binary_accuracy: 0.8260 - val_auc: 0.8836\n",
      "Epoch 44/50\n",
      "9220/9220 - 0s - loss: 0.4093 - binary_accuracy: 0.8384 - auc: 0.8799 - val_loss: 0.4018 - val_binary_accuracy: 0.8243 - val_auc: 0.8839\n",
      "Epoch 45/50\n",
      "9220/9220 - 0s - loss: 0.4035 - binary_accuracy: 0.8363 - auc: 0.8830 - val_loss: 0.3972 - val_binary_accuracy: 0.8291 - val_auc: 0.8830\n",
      "Epoch 46/50\n",
      "9220/9220 - 0s - loss: 0.4000 - binary_accuracy: 0.8399 - auc: 0.8836 - val_loss: 0.3987 - val_binary_accuracy: 0.8265 - val_auc: 0.8833\n",
      "Epoch 47/50\n",
      "9220/9220 - 0s - loss: 0.3986 - binary_accuracy: 0.8406 - auc: 0.8837 - val_loss: 0.3990 - val_binary_accuracy: 0.8295 - val_auc: 0.8824\n",
      "Epoch 48/50\n",
      "9220/9220 - 0s - loss: 0.4021 - binary_accuracy: 0.8382 - auc: 0.8829 - val_loss: 0.4097 - val_binary_accuracy: 0.8243 - val_auc: 0.8825\n",
      "Epoch 49/50\n",
      "9220/9220 - 0s - loss: 0.4035 - binary_accuracy: 0.8387 - auc: 0.8829 - val_loss: 0.3979 - val_binary_accuracy: 0.8265 - val_auc: 0.8827\n",
      "Epoch 50/50\n",
      "9220/9220 - 0s - loss: 0.4028 - binary_accuracy: 0.8356 - auc: 0.8829 - val_loss: 0.3974 - val_binary_accuracy: 0.8286 - val_auc: 0.8833\n",
      "WARNING:tensorflow:Falling back from v2 loop because of error: Failed to find data adapter that can handle input: <class 'pandas.core.frame.DataFrame'>, <class 'NoneType'>\n",
      "2882/2882 [==============================] - 0s 62us/sample - loss: 0.4243 - binary_accuracy: 0.8328 - auc: 0.8682\n"
     ]
    }
   ],
   "source": [
    "model = tf.keras.models.Sequential()\n",
    "model.add(tf.keras.layers.Dense(100, input_dim=Xtraintrain.shape[1], activation='relu'))\n",
    "model.add(tf.keras.layers.Dropout(0.5))\n",
    "model.add(tf.keras.layers.Dense(100, activation='relu'))\n",
    "model.add(tf.keras.layers.Dropout(0.5))\n",
    "model.add(tf.keras.layers.Dense(100, activation='relu'))\n",
    "model.add(tf.keras.layers.Dropout(0.5))\n",
    "model.add(tf.keras.layers.Dense(100, activation='relu'))\n",
    "model.add(tf.keras.layers.Dropout(0.5))\n",
    "model.add(tf.keras.layers.Dense(1, activation='sigmoid'))\n",
    "\n",
    "model.compile(loss=tf.keras.losses.BinaryCrossentropy(),\n",
    "              optimizer=tf.keras.optimizers.RMSprop(),\n",
    "              metrics=[tf.keras.metrics.BinaryAccuracy(), tf.keras.metrics.AUC()])\n",
    "\n",
    "history = model.fit(Xtraintrain, (ytraintrain > 0).astype(int), epochs=50, batch_size=128,\n",
    "                    validation_data=(Xtrainvalid, (ytrainvalid > 0).astype(int)), verbose=2)\n",
    "score = model.evaluate(Xtest, (ytest > 0).astype(int), batch_size=128)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test loss: 0.4243, Test acc: 0.8328, Test auc: 0.8682\n"
     ]
    }
   ],
   "source": [
    "print(\"Test loss: {:.4f}, Test acc: {:.4f}, Test auc: {:.4f}\".format(score[0], score[1], score[2]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "pred_labels = []\n",
    "for i in range(0, len(Xtest), 128):\n",
    "    pred_labels.append(model.predict(Xtest[i:i+128].values))\n",
    "pred_labels = np.concatenate(pred_labels, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7307692307692307"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "index_survived    = (ytest > 0)\n",
    "accuracy_survived = np.sum((pred_labels[index_survived] > 0.5)[:, 0] == (ytest[index_survived] > 0)) / np.sum(index_survived)\n",
    "accuracy_survived"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.724972497249725"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "index_died    = (ytest > 1)\n",
    "accuracy_died = np.sum((pred_labels[index_died] > 0.5)[:, 0] == (ytest[index_died] > 0)) / np.sum(index_died)\n",
    "accuracy_died"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from interaction_effects.marginal import MarginalExplainer\n",
    "import shap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_background_samples = 1000\n",
    "num_foreground_samples = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    sample_shap = np.load('sample_shap.npy')\n",
    "except FileNotFoundError:\n",
    "    model_func = lambda x: model(x).numpy()\n",
    "    sample_explainer = shap.SamplingExplainer(model_func, Xtraintrain[:num_background_samples])\n",
    "    sample_shap      = sample_explainer.shap_values(Xtest[:num_foreground_samples])\n",
    "    np.save('sample_shap.npy', sample_shap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    primal_effects = np.load('primal_effects.npy')\n",
    "except FileNotFoundError:\n",
    "    primal_explainer = MarginalExplainer(model, Xtraintrain[:num_background_samples].values, num_background_samples)\n",
    "    primal_effects   = primal_explainer.explain(Xtest[:num_foreground_samples].values, batch_size=128, verbose=True)\n",
    "    np.save('primal_effects.npy', primal_effects)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "interaction_effects = sample_shap - primal_effects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from interaction_effects.plot import summary_plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x684 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary_plot(sample_shap, Xtest[:num_foreground_samples], plot_type='bar', xlim=(0.0, 0.2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AA4Cpddu5wF62p1IWaJ1FqUw/QfnDYtd6HnMoTzM4jPJHysGUP0QWyfa3KN/X71C+xw8Bx1BaHSIiIqKftbW3t/e81xBSV+r/DRhtu5k2gFgMffEhEq2q7bQFy/QvXfvhQ+5GT0RE9KytPwYdihXZbtWH3B8BXJMkNiIiImLpltJJVVew30K5Fb/jIIfTrYYPXejsVtvbD2gwiyBpC+CGbjbn43gjIiJiiaW1IGKATZw4sX3s2LGDHUZERMRASmtBRERERESHJLIRERER0ZKSyEZERERES0oiGxEREREtKYlsRERERLSkJLIRERER0ZLy+K2IAbasfbJXPskrIiKakMdvRURERER0SCIbERERES0piWxEREREtKQkshERERHRkpaJVRqSRgL3ABvZ/ns/z3UJsMD2vv05TyuRdD7lmhw42LEsCUlzgW1t/+9gxxIRERE9WyYSWdsPAcMHO47BImk8sLntbfpovL2Bo22/vpn9be/f5LijgAeB+4BNbC+o728O3Gq7X1Y0dhHHVsDNtl/y8297yP4MRUREtKKWby2QtMJgxxC99mqgqeQ3IiIiojtL5XNkJU2lVASvqK9HUSp56wInACsAzwMfBr4PnNyx3fYjtUK5BfA7oKMF4Ju2j2uY403A6cA7gGeAK4FjbT/fQ2yXAMsD/wR2AeYBx9u+oGGfLYCTgI2BJ4HzgDNst3dUA4E9ga8AawE/Ag6s8XwMeBr4vO0Jdby3At8ANqlzTwYOtP2ApF2Byyl/lPyzhvAW21N6iOOVwIXA1pTK/COU5HIB8CtgGDC/jrej7Uk9XJMFtveV1Eb5Hn0KGAE8AZxu++yG7+PBwDHABraf7qoiK2m/ut+6wBTgCNs/r9vagC8B/wOsDFwKvKWOMV7SysAVwHvr9vvr8TdJWht4AFipfu8ADrB9qaR2ys/NZOBh4LO2f9zpPNttf6qnGBclz5GNiIghKM+RbbALcAOwBnBYN/tsCTwErE1JeMdJeh+ApDWBW4AJwOuA9wDbUpKjZnwMmAi8CvgccI6k9erYGwM/BU6t8e1ASVL3aDh+eWAr4M3AG4EPUpKnH1OqlScBF9eEDKAdGF9jHQXMpSRq2P4+cCIwyfbw+m9KE3F8gZLkrQesBvwn8EjtD90fmNIw3qQmrwuU67gXsJntEcCmwG2d9pkA/B8wrqsBaoJ4BLAb8ErgKGCCpI5Whz0oCeRY4DXAdMr3u8NydY4NKdfzu8CPJK1Re6i3BxY2nN+ljfPXlofLgb0bYhpO+b5f3GSMERER0c9atZRyW03gAOZL6mqf+2yfX7+eLOlPgIDfUKqhdzZUUR+VdBKlsnt8E/P/0vZ19esJkmYDbwOmUaqEV9u+tm6/V9I5dc7LGsY4yvZ84CFJk4BX2P4JgKTLgG9SErE7bd/VcNyzkr4M/FnSynWMrvQUx3OUJG8M8Efb9zVx3s14jlLt3ETSLNszgZld7Hc48EtJ53Wx7WBKlfvO+vqnkn4FfJxS7d0TuMD2HwEknQoc0HGw7RcT/epUSUcA76Ik9834DnCnpDXrOfwX8HfbtzYZY0RERPSzVk1kpzaxz/ROr+dRbnUDjAbeVxPQDm2USmkzehp7a0k7NWxfjnKrusNC27MaXs+ntBMAYLsjOR8BIGkDSmV1s/pex63pNSjJc1d6iuNUSovGpcBrJV0PfNH2Y92M1xTbkySNA44GfiBpMjDOtjvtN1nSROCrwAWdhhkNnCvpGw3vdbQ/QKlMv3jetVXixesr6eX1/D4ErA68QLlua/TiPP4q6Q/A7sAZlFaJ7/QixoiIiOhnS2siOwd4RcPrtTttf2EJx59GWbW+wxKO093YF9s+oMc9m3c+8HdK7+sTtb/3z/yr36Sr67HIOGzPo9wOP0rSWpQK5qmUaucSXV/bFwIX1taI8ZTb/CO72PVIymPTft9F7MfZvrqbKR6ltEQAL/bMrtuw/VBKq8EHgKk10X2cRV+vrnwHOEDSdcC7KdXWZmOMiIiIfra0JrJ3AJ+QdCXwcsrCoL50GXCYpH2Aqyi3w0dRnkN74xKOfR5wi6QbgRsp1dONgDVs37KYY64C/A2YLWl1/r39YQYwUtIw2881E4eksZRFUPdRem7/CSxsGG9NSavYfppekLQpsCJwO/As5Y+ShV3ta/vB2lrQ+ft7JjBe0t+AOymtCu8EHrd9L6V/9WRJE4C7gYN46R87q9S5nwCG1baC1Rq2zwCWlzTa9oOLOJ3v1Vi+Adxk+9FexBgRERH9bGld7HU0JfmZDkyiJBR9xvYM4P3ARyltCk8C1wDr98HYfwF2BA6hxD8TuIRe3Nbuwucpq+mfBm4Fru+0/WpKy8AMSbNrgtZTHBtQFqw9TbkGz1AWL0F5asFNwIN1vP/oRazDgbOAxymJ5HbArovY/wQ6/Rza/hZwCqUi+iRl0d4xlFYIKH+InEvpd30MWIeyWO7Zuv0MYDaliv0ApXVjasP491F6kG+v59e4EK8xjqcoPxfbUxd59SLGiIiI6GdL5eO3InpDUkfv7xdsXzXY8fQkj9+KiIghqF8ev5X/A0VLkvRxyuPKlqM8Nm1lyiPZIiIiYohIItuJpN3491X0HT5j+8qBjGdpUJ9C0OUzX4HtGx5JNZAO5F/fp78AH7L95CDE0WvXjbmBsWPHDnYYERERLS+tBREDbOLEie1JZCMiYojJJ3tFRERERHRIIhsRERERLSmJbERERES0pCSyEREREdGSkshGREREREtKIhsRERERLSmP34oYYMvSJ3vlU70iIqJJefxWRERERESHJLIRERER0ZKSyEZERERES0oiG0tE0lRJuw92HANN0lxJ7xnsOCIiIoayrNSIZYqkScDNtk/oz3lsD2+Yc6s6Z36fIiIiBlAqshG9IGmFwY4hIiIiilSQoi+MlPQLYDNgKvDftn8LIGk/4GBgXWAKcITtn9dt44EtAAP7UP6w+irwI+A7wLuA+4Ddbf+1HvNx4EvAaGAecB1wqO15ks6p471H0pHAo7bHSHoZMA7YG3gl8AfgYNt/qWO2AfsBnwPWA54CTrZ9To1xy3rMHvW/20tqr3NNAW4Alpc0t16PA2xf2idXNiIiIrqVimz0hX2Ag4BVgZuAS+HFJPYIYDdKAnkUMEHS6xuO3RL4G7AWsDtwKvBt4ADgVcBfgW807P8U8ElgNUoiuQVwNIDtA4Fbga/YHm57TD3mC8CewIfqPLcCN0lapW7fHxgPfLaO+3bgd51inE5JxnduPHHbfwe2BxbWOYcniY2IiBgYqchGX7jA9t0Aki4CDpG0KqUSe7ztO+t+P5X0K+DjQEcP6322L6pf3yDpCeBnDRXYq4ArOyayfUPDvPdLOo+SpC7KpygV1nvrmMcD+wI7AN+lVGK/avu2uv/j9V+HabZPr18/18NcERERMUCSyEZfmN7w9bz63xGU2//nSmqsqL4MeKSbYwHmd3pvfh0LAEnbAscCbwBWBJYHZvYQ37rAgx0vbL8gaWp9H2AUpYWhO9N6GD8iIiIGQRLZ6E/TgONsX90Xg0kaBvwY+CJwse1nJB0IHN6w2wtdHPowJVntGGe5+vrh+tZUYENKW0RXuhqzN9sjIiKiHySRjf50JjBe0t+AO4GVgHcCj3fc5u+lYZQq7JM1id0YOLDTPjOA13d67xLgi5J+TUlaj6D87P+kbj8XGCfpj5Te2FcBo23/vsm4ZlAWe422/WCPe0dERESfyGKv6De2vwWcQnkCwZPAQ8AxwGI9wsr2XMqCrFPqEwLOBa7qtNuZgCTNlnR3fe9USi/sz4HHgK2B7Ww/XbefB5xEWWT2NOXJBO/qRVz3Ad8Ebq/z7rE45xcRERG909be3j7YMUQMKW2nLVhmfunaD89NnYiIaEpbfwyaimxEREREtKQkshERERHRknJfMGKAXTfmBsaOHTvYYURERLS8VGQjIiIioiUlkY2IiIiIlpRENiIiIiJaUhLZiIiIiGhJSWQjIiIioiUlkY2IiIiIlpRP9ooYYK3+yV75NK+IiFgM+WSviIiIiIgOSWQjIiIioiUlkY2IiIiIlpRENiIiIiJaUhLZiIiIiGhJSWRblKStJC3oYZ+7Je3aT/PvLen+HvZpl7R5f8xfx79I0iX9NX6d4yXXWdJ4STf355wRERHRnDxHZxlme5OOryWNAh4E1rX9yKAFFREREdFHUpGNiIiIiJaUiuxSRtJOwNdsb1RfHw8cA2xge4qkTYGbgJ3r9l2BE4HVgZ8Bn7Y9p26bChxt+wrgzjrF/0lqB062/RVJrwZOAbYDVgJ+BXzO9mNNxnsEcAiwPHA5cKTt57vZd2fgWGAUMBUYb/uaXmzfBzgKWAO4lvJw5UW2V9Tj2oD9gM8B6wFP1fM/p27/KPUaA9OBE2xf2eT5HwR8nnL9nwYutT2umWMjIiJiyaQiu/T5JbC+pJH19bbA/cA2Da9voSRwy1MS0LcCGwFvBw7qZty31v+OsT28JrFtwI+BduBNlCRvDnBVk7GuB4wE1gfeA4wFvtDVjpLeC1wJHAm8GhgHfFfSZk1u3wI4F9gfeBUlmW+2/3d/YDzwWWA1ynX6XR13W+DblGT8VcBewDmStuxpUEkbAV8DdrQ9AtgEuK7JmCIiImIJpSK7lLE9W9IfgG0k/ZCSHB0E7ABcSElor2k45Ejbc4G5kn4MqBfTvbP+28b2swCSvgg8LmmdJnppXwC+YPsZ4AFJpwBfpFSIO9sb+JHtG+rrn0i6BtiHklT2tH1P4Ie2b6rbL5P0mSbP83PAV23fVl8/Xv8BHAycZfvW+vp2SVfU+X7dw7gLKFXhTSRNsz0bmNxkTBEREbGEksgunW6mJKxPAP8L/BQ4TdJwSuXzAGBNYKHtWQ3HzQNG9GKe0cCKwGPSS/Lff1IqrT0lsjNtz294PRVYp5t91wXu6PTeA8A7mty+DuBO2x/sIb4Oo4D7utk2Gni/pEMb3lseuLWb/V9UWz12o1R6L5J0F3C87Z83GVdEREQsgSSyS6ebKbf3/wHcZHumpEcpt7+fsH2PpDV7OeYLXbw3jZL8vsp2V9t7sqaklRuS2VF0n/w+XLc3Wr++38z2R7vYPorSdtGTqcCGlHaEzqYBl9g+tYlx/o3tCcAEScMoLQzXSnp1pwQ/IiIi+kES2aXTb4BVgD2Ajl7NX1D6T69dzDFnUZLZDflXsmnKIrBvSDrO9hOS1gA+YPt7TYy5HHBybUd4LXA4cGk3+14K3Czpckqivh2wE7BVk9svB26sz429Bfg4sBnNJbLnAuMk/ZHSpvAqYLTt3wNfBy6RNBn4LaUa+2agzXbnCvBLSBpDqej+GniGsoisna7/aIiIiIg+lsVeS6Har3ob5Rb/XfXtmynJ7WI9jL/2sR5DWUA1W9JRtQr7EUqf5x2S5lB6PLdqcthplKT4QUqCeCPlCQhdzf8bykKq04An6367257c5PZbKL2uF1Eq1R8Evt9knOcBJ1EWdT0N/AF4Vx3355QnGpxK6ZudDpwJDG9i3GGUpyxMB2ZTepl3tv3PJuOKiIiIJdDW3t4+2DFEDCltpy1o6V+69sNzIyciInqtrT8GTUU2IiIiIlpSSivRpfoc23u62XyF7f0HMp5FqU8OuKCbzZ9p9sMNBsp1Y25g7Nixgx1GREREy0trQcQAmzhxYnsS2YiIGGLSWhARERER0SGJbERERES0pCSyEREREdGSkshGREREREtKIhsRERERLSlPLYgYYK3ygQj54IOIiOhDeWpBRERERESHJLIRERER0ZKSyEZERERES0oiGxEREREtKas5YqknaRTwILCu7UckjQc2t73NAMYwErgH2Mj23wdq3oiIiOheEtmIJth+CBg+2HFERETEv6S1IF5CUpuk/IETERERS70kLMsQSQcBnwdWB54GLrU9rt4WPwPYHGgHJgKH2Z5Tj2sHDgH2ADYB3i9pf2CB7X0bxp8KHG37Ckl7A0cD5wKHAasCFwAnARcC2wJ/B/a1fVsTsX8H2AZYDXgYOMH2VYs4pE3SmcCewDPAOba/VsfaCrjZ9os/353bEeo5fw7YG3gjcCfwX8AuwKHAysD5to+q+4/i39sbtgB+B3Rco2/aPq6nc42IiIi+kUUPxbUAACAASURBVIrsMkLSRsDXgB1tj6AkpNdJWgn4JaW/czSwMbAOcFanIT4N7Eq5ff7HJqddj5J4rk9Jkj8H3ACcCrwSmAB8p8mxbgPeVsc7HrhE0saL2H9L4DHgtcBHgEMlfbLJuTrsDnwUWAP4J+U6vRLYANgaOFzS+3qI4SFgbeDDwLge9o+IiIg+lER22bGA8qkZm0gabnu27cnAjkCb7WNtP2P7SeAYYDdJyzccf5rtB2wvtP1sk3M+A3zZ9nO276RUNX9ve7LthcAVwOslrdrTQLa/bfuJOv/3gLuArRZxyHTg5Dr3HZQq8N5Nxt3hdNuP2J4P/BBYCxjf6Xy0iOPvs32+7QX1Wv+ph/0jIiKiD6W1YBlhe4qk3YDPAhdJuotS2RwNjJQ0u9Mh7ZTE7dH6eupiTDvT9gsNr+dTEszG1wAjgKe6G0TScsB4SkV4rRrbKyiV0u5Ms934Ua9TgZ2aDbzqHGtX5zOiyeMB5vWwf0RERPShJLLLENsTgAmShgH7A9cCn6FUDjfp4fAXOr2eQ+m1BaAuAFuzD8Nt9AlKn+l2wD22X5BkFv25zOtJamtIZkcBj9Sv5wDLS1qxobq8dj/EHREREYMoiewyQtIYSvX115Rb/k9RKps/BI6RNA44G5hLSeo2tX3NIoa8AzhF0mjKoq3jgRX6KfxVKK0Rs4Dl6kKytwLXL+KY1wJfqAu+3gTsR1mkBXAf5Tz3lfRN4L3Ax4A/9Ev0ERERMSjSI7vsGAYcS7ndPRs4CNi59n9uTVnkdS8lwf0FZWHVolwJXEdJ/h6gLGp6dJFHLL5LKav/769zbAzc2sMxt1KS2RmUhPcs4CqA+jSGT1GepvAUcHCdIyIiIpYhbe3t7T3vFRF9pu20BS3xS9d+eG7YREREn1lUu+BiS0U2IiIiIlpSSi4xICTdTXnubGfTmliItky5bswNjB07drDDiIiIaHlJZGNADLVkNSIiIvpfWgsiIiIioiUlkY2IiIiIlpRENiIiIiJaUhLZiIiIiGhJSWQjIiIioiUlkY2IiIiIlpRP9ooYYEvLJ3vlk7siImIA5ZO9IiIiIiI6JJGNiIiIiJaURDYiIiIiWtKgJLKSpkravX69laQFSzDWJElHN7yeK+k9fRHnkljS8+qD+dslbT5Y8/cVSVtImt2H4734s9cHY42q13mdvhgvIiIiemeZW+1he/hgx7AskDQJuNn2CYMZh+1bgdWa2bfG/B7g+frWDOAc21/vn+giIiJiMKW1IJY1X7E9vP5BszvwVUnbDnZQERER0ff6rSIr6WDgs8DrgCeBK4GjbS/s4TgB1wDH2/6WpI8DXwJGA/OA64BDbc/r5vh2YAvbt0naGzga+AbwReAVwA+A/+mIQ9JI4Axgc6AdmAgcZntOD3GOB7YA7gL2BJ6hVP++1mm/XYETgdWBnwGf7hhb0no1tvfV438EfMn2M5LagBOATwEjgCeA022fLWkr4Gbg08Dxdft1wIG25zZM/xZJZwJvAO4G9rZ9b5272+sq6Zx6bu+RdCTwqO0xkj5Qz2UjYAHwC+Ag2zMbxjwOWAeYD9xoe6+67dXAKcB2wErAr4DP2X6sh+u8FaUy/LL6ehvgVGAD4DngT7a36epY25Ml3QO8Gbipi7FXBq4A3gusDNwPHGH7prp9b3r4+ek03vrAT4Hv2z5uUecVERERS64/K7KPANsDqwAfAfYB9l3UAZI+DFwP7Gf7W/Xtp4BPUm4vb1H/Hd31CF1aD3gNJfF5F7AL8PE630rAL4F7KAndxpQk7Kwmx94SeAx4LeUcD5X0yYbty1MSt7dSkr+3AwfVuV8G/IRy+3s94N2UhPa0euy2wF7AZrZHAJsCt3UaeyzwFuCNdfwzOsW3N7AzJYl+GDi7YVu319X2gcCt/Ku6OaYe8yxwILAGJTlcm3qtalJ4OXBAjXd94KK6rQ34MeUPhTfV850DXNXlVV20yyiJ5aqUP5K6bH2Q1CbpfZQk/n+7GWs5YAKwIfBq4LvAjySt0bBPtz8/neZ7D+WafS1JbERExMDot4qs7R81vPyjpMuBDwAXdLW/pIOAw4EP2v5Twzg3NOx2v6TzKBXQZj0DHFsraPdL+gUgSoV4R6DN9rEd+0o6BvitpP16qh4D04GTbbcDd0i6kJI8NiZoR9Yq6VxJP65zQ0lMN6QkqvOAeXXR2o8lHUipNq4EbCJpVq16zuw0/xG2nwKeknQscL2k/W2/ULefavshAEmXUKqPwOJdV9uNifQMSacAFze89zzwBkl/sv0PSmIH8M76bxvbz9Z4vgg8Lmkd248sat5OnqMkla+xPQOY1Gn7UZIOB4YBL6f8vN3ezfnMpeGaAKdKOoKSsP60vreon58OHwOOBHa3fXMvziUiIiKWQH+2FnwCOJRSmXsZJbGY3M3uywFHAec3JrF1nG2BYymVtRUplcjOCd2izOyUkM6j3IqHUoUd2cWq+HZgLeDRHsaeVpPYDlOBnRpeL7Q9q5u51wVmdWqReICSvK5he5KkcZQq6Q8kTQbG2Xbj/J3mXpFSfe24PtO7mXuxrqukd1JaC95KuRXfBgwHsD1f0oco3/OvSppCaYW4inKdVwQeK50jL/onMJJSvW/WR4BxwJ8lzQIu7LSY66sdC9Tq0wSuoiTbe3VxPi+ntCl8iHLdXqBco8aK7KJ+fjocSWmjSBIbERExgPqltUDSupRK1wnAa22vCpxL9x9P9gLwH8A+kr7UMM4wyi3p7wEjba8CHLGIcXprGnCf7dU6/VvJdk9JLMB69bZ5h1E0n5Q9DKxRb8l3WJ+S3M0CsH2h7c0pSfWfKLfBXzJ/p7mfBR7vaeImr+sLXRz6PeAPwEb1mE80brQ9yfaHKUnhCcAVkjagXOd5wKs6XeeX2/5tT/F2muNO27sCawKfAU6StHU3+z5C6WndqavtlKR7S8qdglVtr0bp5+7tz9eOwDslfbPTz0NERET0o/7qkR1ex54FPC/p3cAeizqgLkLaAthX0kn17WGUSt6TdQHUxpQezb5yPTBM0jhJI2pf5esk/WeTx78W+IKkFSS9HdgPuLTJY2+nLC46XdLKktYGvgJ8x3a7pE3rM1RXpCSoc4DOrQ4nSVpF0prAeODyhraCRWnmus4AXt/pvVUovbVz6iK5Izs2SHqNpJ0lrVormB1V7oWAgTuBb9RFX0haoy4Oa5qkYZL2krR6rYQ/SUm4u2wBkbQWpaf1zm6GXIVybZ+g/BwcS5OP+upkBuUPMQGX1/7niIiI6Gf9ksja/itl9fq1lITmSMpCmp6Om0pJZj9cezbnUZ58cIqkuZSq7uIsEOpuvvnA1pRFXvdSkrRfAG9rcohbKcnsDEpSfFaz8dleQKnkrQM8RElsf0fpE4byx8BZlArrE5RFY7s2DLGQsljsz8D/AVMoFcZm5p5Lz9f1TMpDJGZLuru+99+UBXtzKNXhqxv2Xw44AJgqaU4dcy/bU2ty/RFKpfOOun0ysFUz8XayK3Bvjfs64DjbtzRsP0blQzHmUhLYxyiL2rpyBuXn8++Uto75lBaNXqs9wR+gtIz8sP4BEhEREf2orb29vee94t/Ux29t3t2jn/p57q1oeCRVtJa20xYsFb907YfnxyciIgZMv7Te5QMRIiIiIqIlpSTTDUlbADd0s/nEgYxlWVZ7be/pZvMVtvcfyHgiIiKidaS1IGKATZw4sX3s2LGDHUZERMRASmtBRERERESHJLIRERER0ZKSyEZERERES0oiGxEREREtKYlsRERERLSkJLIRERER0ZLy+K2IATbYn+yVT/SKiIhBkMdvRURERER0SCIbERERES0piWxEREREtKQkshERERHRkrLqYxEkjQTuATay/fd+nusSYIHtfftznlYi6XzKNTlwsGPpTNIo4EFgXduPSNobONr26wc1sIiIiCEkiewi2H4IGD7YcQwWSeOBzW1v00fj7U0vkj3b+/di7F2AI4COsR8GLrR9dm/jjIiIiNaQ1oJuSFphsGOI5kh6L3AxcDTwamBNYG/g0UEMKyIiIvrZkKrISppKqQheUV+Pot4eBk4AVgCeBz4MfF/Sybz09vF4YAvgd0BHC8A3bR/XMMebgNOBdwDPAFcCx9p+vokQV5T0LWAXYB5wvO0LGsbeAjgJ2Bh4EjgPOMN2u6StgJuBPYGvAGsBPwIOrPF8DHga+LztCXW8twLfADYBlgcmAwfafkDSrsA4YDlJc2sIb7E9pYc4XglcCGxN+fl6BNgfWACcDwxrGG9H25O6uxiN7RaS2ijfo08BI4AngNNrxfU9wF9t31gPXQjcUf91jDUVuAj4APAuyvd1t3ruXwHWAK4G9re9oB7zHWAbYDVKhfcE21d1F29EREQMrFRkX2oX4AZKUnNYN/tsCTwErE1JeMdJeh+ApDWBW4AJwOsoCda2wJeanP9jwETgVcDngHMkrVfH3hj4KXBqjW8HSpK6R8PxywNbAW8G3gh8kJKc/phSqTwJuFjSynX/dmB8jXUUMBe4AsD294ETgUm2h9d/U5qI4wvAysB6lATwP4FHbP8vJaGd0jDepCavC5TruBewme0RwKbAbXXbb4B3SDpL0vb1+9CVvYD/AV4J3AlcA7wfeGu9Zh8Gdm3Y/zbgbfU8jgcuqecfERERS4EhVZFtwm01gQOYL6mrfe6zfX79erKkPwGiJFN7Anc2VFEflXQScDIlEerJL21fV7+eIGk2JZGaRknArrZ9bd1+r6Rz6pyXNYxxlO35wEOSJgGvsP0TAEmXAd8ENqxx3tVw3LOSvgz8WdLKdYyu9BTHc5SkeQzwR9v3NXHezXgOWAnYRNIs2zOBmQC2J0v6jxrbhcDrJP2BUn2+tWGMC23/FUDSVZSK7LttzwPm1eslShUd299uOPZ7kg6n/KFwTx+dU0RERCyBJLIvNbWJfaZ3ej2PcqsbYDTwvpqAdmijVEqb0dPYW0vaqWH7cpRb3h0W2p7V8Ho+pZ0AANsdyfkIAEkbUCqrm9X3Oj46dQ1K8tyVnuI4ldKicSnwWknXA1+0/Vg34zXF9iRJ4yh9sD+QNBkYZ9t1+28of0wgad0ax/WS1rPd8f1ovL7z6fp6dVyb5SjV6l0pbRrtwCso1yYiIiKWAkMtkZ1DSUY6rN1p+wtLOP404GbbOyzhON2NfbHtA/pwzPOBv1N6X5+o/b1/5l+fh9zV9VhkHLW6eRRwlKS1KK0Kp1Iqtkt0fW1fCFxYWyPGU1o4Rnax38OSvkpJQtcH/rAY032C0ge9HXCP7RckmX76rOiIiIjovaGWyN4BfELSlcDLgWP6ePzLgMMk7QNcRbkdPoryHNobF3VgE84DbpF0I3AjpUK4EbCG7VsWc8xVgL8BsyWtzr+3P8wARkoaZvu5ZuKQNBa4H7iP0nP7T8riq47x1pS0iu2n6QVJmwIrArcDz1L+KFlYt32U0vd6o+3p9VwOAR4H7u3NPA1WoSxQm0VZ8LY3pZf2+sUcLyIiIvrYUFvsdTQl+ZkOTAK+15eD255BWTz0UUqbwpOUBUXr98HYfwF2pCRo0yn9oZewZLe6P095CsPTwK38e5J2NaVlYIak2ZJGNxHHBpQFa09TrsEzlOe7AvwKuAl4sI73H72IdThwFiU5fYJSKe1YmPUEZaHeHyXNA/5S49l2Eb2+PbmU8nSK+ymP8dqYco0iIiJiKdHW3t7e814R0WfaTlswqL907YcPtRsxERGxFOiX1ryhVpGNiIiIiGVESjMDRNJuwAXdbP6M7SsHMp6lQX0KwbhuNm/f6dFZy4zrxtzA2LFjBzuMiIiIlpfWgogBNnHixPYkshERMcSktSAiIiIiokMS2YiIiIhoSUlkIyIiIqIlJZGNiIiIiJaURDYiIiIiWlIS2YiIiIhoSXn8VsQAG8xP9sqnekVExCDJ47ciIiIiIjokkY2IiIiIlpRENiIiIiJaUhLZiIiIiGhJSWRbhKTNJbU3vD5f0jmDGVNfkbSbpDsHO46IiIhoLVnC3KJs7z/YMUiaBNxs+4ReHHMJsMD2vh3v2b4SuLLPA+wjXcUcERERgy8V2RiyJLVJyh9zERERLSrPke1nkg4CPg+sDjwNXGp7nKSRwBnA5kA7MBE4zPacetyGwLeAdwJTgO8AZ9puq9svoaFKWNsOPgfsDbwRuBP4L2AX4FBgZeB820c1xPYm4HTgHcAzlKrosbaflzQKeBDYE/gSsC7wv8BetqfXtobPAguA54FHbY+R9AHgRGCjuu0XwEG2Z0r6IvDVOv2z9b+rAnsAR9t+fY1rZeAkYCfg5cBtdYyH6vZJwB3AKGA7YCZwqO1rm/h+tAOH1Dk3Ad4PvKK3MdteKOmjwDHABsB04IRaXV6kPEc2IiKGoDxHttVI2gj4GrCj7RGUxOk6SSsBvwTuAUYDGwPrAGfV414GXA/cDawJfAxoppVgd+CjwBrAP+scr6QkWlsDh0t6X51jTeAWYALwOuA9wLaUpLXRrsCWdZ9XAMcD2D4QuBX4iu3htsfU/Z8FDqwxvBlYu+O8bJ9CSZYvrccMt72wi/M4E3h3/bce8DgwUdLyDfvsRUnCVwXOAS6tCXAzPl3Pazjwx8WJWdK2wLcpSfGrajznSNqyyRgiIiJiCaU8078WUP4C2UTSNNuzgcmSPga02T627veMpGOA30raD9iMUm38gu1ngL9JOh24sIf5Trf9CICkH1KS6PG2XwDurAuqBPyGUmm90/YF9dhHJZ0EnExNVqsv2368jnkVsMg+Udu3NbycIekU4OIe4n6RpOUoSeFY24/W9w4B/gFsSqkKA3zf9m/r9gsp1e0NKZXonpxm+4H69UJKxbe3MR8MnGX71vr6dklXUK7rr5uIISIiIpZQEtl+ZHuKpN0ot+AvknQXJUkcDYyUNLvTIe3AWpTq7Ezb8xu2PdjElNMbvp5fx3ih03sj6tejgfd1iqENaKx6dh5zXsPxXZL0Tspt+rdS2hnaKJXPZq0BrEjD+dqeK2km/2pveElctudJoqfYGkztg5hHA++XdGjDe8tTqtQRERExAJLI9jPbE4AJkoZR2gOuBT4D3Gd7k66OkfQosKaklRuS2VF9HNo0yhMHdliCMV7o4r3vAT8EdrH9tKQdKf2/izqm0SzKrf5RwP0AkoZTWiweXoJYG3WOYXFingZcYvvUPoopIiIieimJbD+SNIZSufs1ZTHVU5Sq6w+BYySNA84G5lL6Mje1fQ0wmZIonVwXG61NWbDVly4DDpO0D3AV8BwledzI9o1NjjEDeH2n91ahnOecuqDtyC6Oebek5TpViwGw/YKky4CvSLoHmE3phb0XuL3JuHprcWL+OnCJpMnAbynV2DdTWkbcT3FGREREgyz26l/DgGMpt8FnAwcBO9cq69aURV73UpKoXwBvA7C9APgw8BbKivwJ9Nwf2yu2Z1BW7H+Ucqv9SeAaYP1eDHMmIEmzJd1d3/tvSh/tHErcV3c65iLKorEn6nGdWxmgPOXBwO+Bh4DXAh/uZmFYX+h1zLZ/DuwHnEpZjDadcj1600YRERERSyCP34oYYHn8VkREDEF5/FZERERERIeUZ2KZIukGYIuuttleKm77XzfmBsaOHTvYYURERLS8JLKxTLG9/WDHEBEREQMjrQUREf+fvfsOl6uq2z7+PXQxBFC6EAJSlKI+eosNEGmvCEFffRQQpBkERYEHQjGGIiBS9aVKN0ioAgpB6T5REAFvEFCKSDmEHsAkJKEmOe8fax8ZhlPm5LRMcn+u61yZmbX22mvtmYHf/PZae0dERFNKIBsRERERTSmBbEREREQ0pQSyEREREdGUEshGRERERFPKDREiBthg3RAhN0OIiIhBlBsiRERERES0SyAbEREREU0pgWxERERENKUEshERERHRlAYkkJV0rqSxDdQbK+ncLso3kTSzTzv37n08KmnXft7HEZJurnk+QdKYXrZ5naSDet+7+ZOkNkkbdlHe5WczIiIiBl4ysvMI21vZPr67epJ2lfRoo683o+6C0oiIiJg39DiQlbRwf3QkIiIiIqInur2wpKRW4HzgC8AngZGSXgcOBT4IPAccbfuimm12B34ELAtcTbl2WKNTAt4j6ULgy8CLwFG2x3bSt4WA0cCuwNLAPcC+tv/RYPnCwHHATsBs4OcN9hFJQ4AjgK9W43wK2NP2rdV+D6r2uxzwQLVfN9DuosCpwFeAxYAXgNG2f93NdhOAm20fPadt1LXXCpwNbAZ8CmgFvmP79qp8M+AYYC3Ke3sLsI/tSVX5wsCBwC7ASsAk4GDbV0hqAfYAfgCsCkwFjrN9WrXtV+jk81VN+xgDnAPsBywIXAgcYvstSfdVQ7hR0mzgUtsjJe0LfBf4ADAZuAgYY3vWO4et06r9GtjDdodZaknvB44HtqyO8f8CP7D9QqPHOCIiInqn0YzsHsD+wBLADOA8ShDxPkqgcpqkjQEkbQScDuxVld8EbNeDPn0DuKHadk/gF5I+20ndA4GdgS8BKwC3AjdJGtpg+SHANsBngdWA4ZTAqhHnUQK8zYChwLaUoAvgx5RA/IvA+yk/BK6XtHQD7e5C+cHwYdtDgU0pgXBP9EUbALsD+wBLUt7HC2rK3gC+Twni16cEqyfXlB9N+YHwdcrx+TzwSFW2F+VHwHeBpYD/Au4EkLQFXXy+KqsCw4DVgc8AIyjvNbY/WtXZ0vYQ2yOr508DW1V9+XI1tpG803eA/+btHx/XSFqw/qBUgfhvgTZgvao/04CL6+tGRERE/2n0Vj/n2P4bgKQ9gZNt31qV3SVpHCVg/FP17xW2b6rKf1Vt06g7bI+rHt8s6UpKZvP2DuruRsnkPVz17UhKcLI1cEkD5TsDx7Zn3SSNAr7dXQclLUcJuNez/UT1cnsbLZTgb2vbj1dl50nar9rvuPr26rwJDAHWkfQX2091159+agPgLNsPQFmwB+wnaUnbU23fVlPveUnHUwL29mOwN7Cd7furOk9Xf1AysT+paeOl6g9gX7r+fEHJnh9o+zXgsWrfB1EyxB2yfWXN079VWf/NgLNqXj+p5rNwECVz+yne/dn7RPW3ue03auq/JGll208TERER/a7RQLa15vFqwBck7V/z2oKUbCfAypTTsrWeoHGtHTz/eCd1V6lt2/bs6pT4Kg2Wr1y7P9szJE1qoI/Dq38f6aBsGUoQOV5S7a1IF672151xwPKUaQ5rSroFOKizU9xz0MZbVV/qLVyV1Xqu5vGM6t8lgKmSPkEJHD8KLE6ZPjKkqrMs8F46Pj5Qjl9nZd19vgAm2X615nkr3RxbSTtQziqsTvncLwLcUVettf2B7VclvdhJu6sBiwIvSKp9/XVKpjiBbERExABoNJCdXfP4SWCs7RM6qfsMbwd67YZTZSwb0NG2nQUGT9XWl7RA9fypBsufqSt/LyUI605r9e+awIN1ZS9Rgr7Nbf+1gbbewfZMyrzd4yQtBZxGyXRu3OWGjbfRCqwoafG6YHAN4PH6trpwKXAF8HXbr0jaBhhflb0IvEo5Pv/qYNvWquymDsq6+3wBLFfX/+G88zNS+wMCSatQgvuvAtfZflPSicA7olDe+VlYnPJZ6Oiz9yTlPX6f7dkdlEdERMQAaDSQrfX/gLGS7qCccl2QMkeypVrMdCFlPuhY4I/A9pTTs40Gsp+usmeXU+ZVfg3YvJO6Y4GDJP2JEhwdTBnT7xosvxA4sFoo9Sxl8U6384ZtT5J0BXBGtfjoScoCIWw/Kulk4ERJI23/q1oY9jng77af7aptSZtSFj/dD7xGCZhmdbVND9u4ixJc/j9JBwOvVH0bSZm72qih1T6mSRpGmW8MgO02SWcAx0uaSJlv+gFK4Hc/ZQ71aEl/o8yNfR+wWhX4d/f5gvIeHVedzl8RGMU75+8+TwmU26cuDKm2eRF4S9KngW8BD9WN6X+qz8IzwLGUwP7ODsZu4D7gFEmH235Z0rLAZrYvbezwRURERG/1+PJbtm+kLP46gZJ9fI5yCntIVf5HyhzIc4F/UxY8XdaDXVxOWZw1mbLoZ2/bf+6k7gmUua43Ulbmb0pZ5PNKg+U/pSwsu4MyBWEiJShtxO7AvZRgfRrl6gwrVGWHV8+vlvQKJXDci8aO9/KUAHsy5diuSlmE1BOdtmH7Lcpc3SWBf1Deo1OBA3pyVYOqvZGUsV8F1G/7I8p7+duqzgRK1hfgDMqxP48SSN9DWZzW7eer8iQlU/oEJdC8nvIjpHbfR0qaLOks2w/x9nsyhRJ0X9LBmM6txvIiZcrEl+uuakDVx9mUBWMtwN2SplE+Q5t00GZERET0k5a2trbua0XMJdovv2V7je7qzq1aTpw5KF+6tlFzcgImIiKiT7T0R6O5s1dERERENKUBTdFI2pF3Xu6o1p61N1UYbJLOpFwHtSPr2J44P/cn5tw1a1/HiBEjBrsbERERTS9TCyIG2Pjx49sSyEZExHwmUwsiIiIiItolkI2IiIiIppRANiIiIiKaUgLZiIiIiGhKCWQjIiIioiklkI2IiIiIppTLb0UMsNzZKyIi5kO5/FZERERERLsEshERERHRlBLIRkRERERTSiAbDZHUKmmnwe5HoyTtKunRHtSfIGlMF+U7Srqvb3oXERERfSGrPyIaYPsi4KLB7kdERES8LRnZiIiIiGhKychGTwyTdAvwKaAV+I7t2wEk7QHsC6wCPA4cbPvGquwIYCPAwO6UH1A/Aa4Efgl8EngE2Mn2Q9U2iwM/Bb4KvAe4DdjH9sSqfAngdGAbYBpwKHA+sLntCfUd7669yjKSrgU2AZ4ERtm+rtp+V2CM7TWq5xOAu4HhwJbAJGB/21f37JBGRETEnEpGNnpid2AfYEngJuAC+E8QezCwI7A08CPgKklr1Gy7MfAvYAVgJ+AE4Dxgb+B9wEPAKTX1fw58uvpbFXgJGC9pwar8ZGB14EPA+sDWzvoEUQAAIABJREFUwIJ0rrv2AL5dtbsUcAzwG0nDu2hzF+Ck6nicBlxQBcwRERExABLIRk+cZfsB27OAc4E1JC1JycQeafs+27Nt/x74X2D7mm0fsX2u7VlVlvNl4AbbD9l+C7gYEICkBShB4hjbz9ieAewHfBjYoAo+dwQOsz3J9ivA6M463V17NVV/a/sm2zOrObEGvtnF8bjM9u22ZwNnUwLaNRs4jhEREdEHEshGTzxX83hG9e8SwGrA6ZKmtP8BXwA+0Mm2AK/WvfZq1RbAssCiwBPthbanU07frwIsAyxCOf3frvZxve7aa9dat10rsHIX7f6n/1VwTM0YIiIiop9ljmz0hSeBw23/uo/aexF4gzL/9FEASUOA5YCnKNMC3qRMEXis2mZYL9prN7xuu+HA7+dwDBEREdHPEshGX/g5cISkfwH3AYsBnwBesv1wTxuzPVvSr4CjJD0ITKHMRX0YuMv2LEkXV/v8O/A6ZfHYHLVXU/UrkjYDJgDfoEx1+FZP+x8REREDI1MLotdsnwMcT7kCwWRgIuUqAgv3otn/ocxR/WvV3orAttX8XCjzcidSrnbwD8riszZK5nVO2oOy+Gx/YCpwGPA120/UNxQRERFzh5a2trbB7kNEr0lam5Jh/YDtZwe7P11pOXHmoHzp2kblBExERAyalv5oNP9ni6YkaXXKpbzupCz++jnwp7k9iI2IiIi+k6kF0awWo1zyairwd8pVD7q6VFZERETMYzK1IGKAjR8/vm3EiBGD3Y2IiIiB1C9TC5KRjYiIiIimlEA2IiIiIppSAtmIiIiIaEoJZCMiIiKiKSWQjYiIiIimlEA2IiIiIppSLr8VMcAG485euatXREQMslx+KyIiIiKiXQLZiIiIiGhKCWQjIiIioiklkI2IiIiIppRANiIiIiKaUgLZAEDSdEmf6a/6c0rSjpLu68P22iRt2EdtbSJpZl+0FRERET2Xa/LMZyRtAtxs+x3vve0hPWmnp/XnlO2LgIsaqSupFVgBmAm0AROBn9i+uN86GBEREYMmGdkmImnhwe5DExhZBdlDgR8Cv5L0oUHuU0RERPSDZGTnApKGAEcAXwWWBZ4C9gSOAu4FhgObAscAx0raCPgpsA4wGTgD+JntNkmLA+OAzwKLA48CB9u+SdJKwHXAgpKmV7vf2/YFktqAjWzfJmlXYAxwCnAQ8F7gcuB7tmdVfe5p/WHAz4ANKdnS8cABtqd1c2x2BcbYXqN6vj1wOLAy8Cpwve1d6rez3QZcI2lydZwe7qDtlYFzgU8AiwD3A/vZvrsqPwLYCLgTGFlt9gvbh3fSVwG/AY60fU5X44qIiIjeS0Z27nAe8ClgM0omcVvguapsd0qAuCRwiqR1gN8DJ1CC3q2B7wPfquovAFwFrAm8H7gEuFLSsrafBbYCZtkeUv1d0EmfVgWWBz4IfBL4OrB9F2PotL6kxYA/AA8Cq1ECy5WBkxs4Nv9RBekXUoLvJYDVKYFoR3UXlPR/KUG1O2lyAcqPgFUpUxLuAa6qy3xvTJmisBLlfRkt6XMd7G9b4FpgjwSxERERAyMZ2UEmaTngG8B6tp+oXn60KgO4wvYfqtdflfQ94Ne2r65ee1jSacDOwK9sT6dkZNudIOlgSnD5+x507TXgsCqj+qikWwDR+XzVrupvA7TYPqy9rqRDgdsl7dGetW3QW8CHJN1r+9/ArXXlZ1XHYzFgYeDHtid21FD1+n/KJI0B9qH8CHiwevkR22dWj++QdG81rj/XbLcPMAr4ou17ezCWiIiI6IUEsoNvePXvI52Ut9Y9Xw3YVNJXa15bgDIdAUnvoWRrvwQsA8wGlqBkb3tiUl2AOaNqZ07qrwYMkzSlbps2Sib0mUY6ZPtVSV8C9gd+Iulx4KS6xVx72h4HIGktyvSCBTuaDiBpGcp0h02ApSjHCt55rJ6r26z+OCwA/Ag4M0FsRETEwEogO/haq39rs4C1Ztc9fxI43/benbS3P+V0+GZAazVv9iWgpZP2BsKTlMzmur1tyPYEYIKkBSmn+q+UdKftxzqo+4ikaylzjzua1/pTYEXgU7afk7QE8ApvH6tGzAY+D9wk6XXbP+3ZiCIiImJOJZAdZLYnSboCOKNa2PQkZZ5pZ84A/ijpeuB6SlZzLWBZ23+kzLF9A3gZWKSaVrBUzfbPUxZ7rVYzlaG/XUvJoI4GTgWmU+acbmD7N402Iml5ymKxm21Prcnwdjg1QdLqlDnEd3fS5FDKgrHJ1YK74xrtSy3bD1cL8G6RNNT2D+eknYiIiOiZLPaaO+xOuTrBH4FpwNWUU+7vYvsflDmn+1FOe08CxvL26fCfAVOAZ4HHKIFaa832jwC/AO6SNEVS+yKxfmP7VcpVF9qvHjAVuAX4WA+bWgDYG2iVNA04HdjFdmtNnXOrmzXMoMyf/TNlMVxHDgOWowT99wO300lQ3J2qDxsB20o6Q1JPsroRERExB1ra2toGuw8R85WWE2cO+JeubVROvkRExKDqlwRPMrIRERER0ZSSpolBVc0tva6T4mNsHzOQ/RkI16x9HSNGjBjsbkRERDS9BLIxqGzfCgwZ7H5ERERE88nUgoiIiIhoSglkIyIiIqIpJZCNiIiIiKaUQDYiIiIimlIC2YiIiIhoSrkhQsQAG+gbIuRmCBERMRfIDREiIiIiItolkI2IiIiIppRANiIiIiKaUgLZiAZJmi7pM4Pdj4iIiCiyCiTmO5J2BcbYXqMn29nOrXQjIiLmIsnIRkMktUia63/4SFp4sPsQERERA2OuD0yi9yTtA/wPsAzwCnCB7dGShgE/AzYE2oDxwAG2p1XbtQH7Ad8C1gW+IGkvYKbtkTXtt1IynOPas53A6cABwJLAWcBPgbOBLYBngZG2b+um38OBJ4A9gIOA5YEJwB62J9Xs+3zgC8AngZHApZK+W/V9BeAh4EDbt1ZTA84EFpE0vdrVNrYnSFoPOAn4OPAacBFwmO23ao7HRrZvqxnnKVXf3gtcDnzP9qyuxhURERF9IxnZeZyktYBjKcHaEpSA9BpJiwF/AB4EVgPWAVYGTq5r4tvAdsAQ4G8N7nZVYClgdUqQ/APgOuAEYGngKuCXPRjGzsDGwCrAbGBcXfkewP7AEsDVknYAjqq2ez9wDnC9pFVt/wXYC3jc9pDqb4Kk5YA/Vn37APAZStD9w27GuTzwQUoQ/XVg+x6MKyIiInohgey8byblIsTrShpie4rtO4BtgBbbh9l+zfZk4FBgR0kL1mx/ou3HbM+y/UaD+3wN+LHtN23fB9wH/NX2HVW2chywhqQlG2zvx7aft/0KcCCwhaSVasrPsf032222XwN2A86yfaftmbbPA+4HvtnFPnYG7rN9VtXvZyhZ5J27Gedhtt+w/ShwC6AGxxQRERG9lKkF8zjbj0vaEfgucK6k+4EjKVnYYZKm1G3SRjkd/0z1vHUOdjvJ9uya568Cz9U9h5JBndpAe60dPF6ZMkWhvhxK5vbyutceq17vzGrA5+qORwuwYCf1oYyzdhrBDMqYIiIiYgAkkJ0P2L4KuErSIpTT6lcDewKP2F63m81n1z2fRplrC0C1AGy5PuxuR4ZTAtH2xwBP15TX9/GpmnrtVqfMAe6oPsCTwM22t57TTkZERMTASiA7j5O0NiXb+CfKqfCplKzrFcChkkYDpwLTgZWADWz/posm7waOl7QaJSN6JNDfVwo4VNI/KP0/jhJwPttF/bHAyZKuAe6hLFb7GLBDVf48sJykodV0BYBfAQdI2h24GHiTEgyvZfv6Ph5PRERE9IHMkZ33LQIcRjm1PwXYB/ia7VeBTSmLvB6mBLi3UAK+rlwEtAeIjwETeXsaQn8ZB9xKybQuQglMO2X7YuDH1XYvU6ZVfMn2k1WV/wVuAp6QNEXS520/T7nywVcoUxUmA7+hZHIjIiJiLtTS1tY22H2I6FDN5bdWsf10N9WbRsuJMwf0S9c2KideIiJi0LX0R6PJyEZEREREU0qqJgaVpAco12Ot9ySQhVcRERHRqUwtiBhg48ePbxsxYsRgdyMiImIgZWpBRERERES7BLIRERER0ZQSyEZEREREU0ogGxERERFNKYFsRERERDSlBLIRERER0ZQSyEZEREREU8p1ZCMG2EDdoja3po2IiLlIriMbEREREdEugWxERERENKUEshERERHRlBLI9hFJrZJ2qh5vImlmL9qaIGlMzfPpkj7TF/3sjd6Oqw/23yZpw8Haf0RERMxdshqkCdgeMth9mBdImgDcbPvowe5LRERE9F4yshERERHRlJKR7QFJ+wLfBT4ATAYuAsbYntXNdgJ+Axxp+xxJ2wM/BFYDZgDXAPvbntHJ9m3ARrZvk7QrMAY4BTgIeC9wOfC99n5IGgb8DNgQaAPGAwfYntZNP48ANgLuB3YGXgNOs31sXb3tgGOAZYAbgG+3ty1p1apvn6u2vxL4oe3XJLUARwO7AUsALwMn2T5V0ibAzcC3gSOr8muA79ueXrP7j0j6OfAh4AFgV9sPV/vu9LhKOq0a22ckHQI8Y3ttSZtVY1kLmAncAuxje1JNm4cDKwOvAtfb3qUqez9wPLAlsBjwv8APbL/Q1XGOiIiIvpGMbM88DWwFDAW+DOwOjOxqA0nbAtcCe9g+p3p5KvBNYClKcLURJTht1KrA8sAHgU8CXwe2r/a3GPAH4EFKQLcOJQg7ucG2NwZeAFakjHF/Sd+sKV+QErh9lBL8/RewT7XvhYDfAc9Xffw0JaA9sdp2C2AX4FO2lwA2AG6ra3sE8BHgw1X7P6vr367A1yhB9FPAqTVlnR5X298HbgWOsj3E9trVNm8A3weWBdYHVqI6VpIWBy4E9q76uzpwblXWAvyW8kNhvWq804CLOzyqERER0eeSke0B21fWPP2bpAuBzYCzOqovaR9gFPBF2/fWtHNdTbVHJZ1ByYA26jXgsCoD+6ikWwBRMsTbAC22D2uvK+lQ4HZJe3SXPQaeA46z3QbcLelsSvBYG6AdUmVJp0v6bbVvKIHpmpRAdQYwo1q09ltJ3wfepGQu15X0YpX1nFS3/4NtTwWmSjoMuFbSXrZnV+Un2J4IIGksMK59wzk5rrZrA+nnJR0PnF/z2lvAhyTda/vflGAY4BPV3+a236j6cxDwkqSVbT/d1X4jIiKi9xLI9oCkHYD9KZm5hYBFgDs6qb4A8CPgzNogtmpnC+AwyunxRSmZyPqAriuT6gLSGZRT8VCysMMkTanbpg1YAXimm7afrILYdq3AV2uez7L9Yif7XgV4sW6KxGOU4HVZ2xMkjaZkSS+XdAcw2rZr91+370Up2df24/NcJ/ueo+Mq6ROUqQUfBRan3HlkCIDtVyV9ifKe/0TS45SpEBdTjvOiwAtl5sh/vA4Mo2TvIyIioh9lakGDJK1Cyf4dDaxoe0ngdDq/5dps4PPA7pJ+WNPOIpRT0pcCw2wPBQ7uop2eehJ4xPZSdX+L2e4uiAVYtTpt3m44jQdlTwHLVqfk261OCe5eBLB9tu0NKUH1vcBV9fuv2/cbwEvd7bjB4zq7g00vBe4B1qq22aG20PYE29tSgumjgXGSPkg5zjOA99Ud5/fYvr27/kZERETvJSPbuCGUwP9F4C1Jnwa+BTzU2Qa2H5a0EXCLpKG2f0jJ4i4KTK4WQK1DmaPZV66lZA9HU+aPTqfM+9zA9m8a2H5F4MBqQdV6wB6UjGQj7gIeBU6SdABlrupRwC9tt0nagDL2uygB6jSgfqrDTyWNpGRxjwAurJlW0JVGjuvzwBp1rw2lzK2dVi2SO6S9QNLylAVzN9ueWpPlngUYuA84RdLhtl+WtCywme1LG+hvRERE9FIysg2y/RBl9frVwBRKwHNJA9u1UhYdbVvN2ZxBufLB8ZKmU7K6fbZAyParwKaURV4PU4K0W4CPNdjErZRg9nlKUHxyo/2zPZMyR3dlYCIlYL2TMk8Yyo+BkykZ1pcpi8a2q2liFmWx2N+BfwKP02AQXc3Z7e64/pxyEYkpkh6oXvsOZcHeNEp2+Nc19RcA9gZaJU2r2tzFdmsVXH+ZkvG9uyq/A9ikkf5GRERE77W0tbV1XyvmC9Xltza0vfkg7HsTSuZznj9L0HLizAH50rWNmucPZURENI++mkL5DsnIRkRERERTSspmPlLN172uk+JjBrIvEREREb2VqQURA2z8+PFtI0aMGOxuREREDKRMLYiIiIiIaJdANiIiIiKaUgLZiIiIiGhKCWQjIiIioiklkI2IiIiIppRANiIiIiKaUi6/FTHABuLOXrmrV0REzGVy+a2IiIiIiHYJZCMiIiKiKSWQjYiIiIimlEA2IiIiIppSAtmIiIiIaEoJZOMdJJ0raWwD9cZKOreL8k0kzezTzr17H49K2rWf93GEpJtrnk+QNKY/9xkRERGNSSAbEREREU0pgew8TNLCg92HiIiIiP6Sq6bPQyS1AucDXwA+CYyU9DpwKPBB4DngaNsX1WyzO/AjYFngasoFixudEvAeSRcCXwZeBI6yPbaTvi0EjAZ2BZYG7gH2tf2PBssXBo4DdgJmAz9vsI9IGgIcAXy1GudTwJ62b632e1C13+WAB6r9uoF2FwVOBb4CLAa8AIy2/etG+xYRERFzLhnZec8ewP7AEsAM4DxgP+B9wC7AaZI2BpC0EXA6sFdVfhOwXQ/29Q3ghmrbPYFfSPpsJ3UPBHYGvgSsANwK3CRpaIPlhwDbAJ8FVgOGA6s22M/zgE8BmwFDgW0pQT3AjymB+BeB91N+CFwvaekG2t2F8oPhw7aHAptSAuGIiIgYAMnIznvOsf03AEl7AifbvrUqu0vSOErA+Kfq3yts31SV/6raplF32B5XPb5Z0pWUzObtHdTdDTjO9sNV344ERgJbA5c0UL4zcKztR6vyUcC3u+ugpOUoAfd6tp+oXm5vowXYB9ja9uNV2XmS9qv2O66+vTpvAkOAdST9xfZT3fUnIiIi+k4C2XlPa83j1YAvSNq/5rUFKdlOgJWB+lPoT9C41g6ef7yTuqvUtm17djUVYpUGy1eu3Z/tGZImNdDH4dW/j3RQtgwlEB0vqa3m9YWr/XVnHLA8ZZrDmpJuAQ5qD7YjIiKifyWQnffMrnn8JDDW9gmd1H2GtwO9dsOpMpYN6Gjbpzup+1RtfUkLVM+farD8mbry91Lmu3antfp3TeDBurKXKNMvNrf91wbaegfbMynzdo+TtBRwGmVqwsY9bSsiIiJ6LoHsvO3/AWMl3UE53b8gsD7QUi1mupAyH3Qs8Edge8pc0kYD2U9L2gG4HPg88DVg807qjgUOkvQnSnB5MOXz97sGyy8EDpQ0AXgWOJ4G5njbniTpCuCM6pqzT1IWvmH7UUknAydKGmn7X9XCsM8Bf7f9bFdtS9oUmArcD7xGCYpnddeniIiI6BtZ7DUPs30jZfHXCZTs43OU0+BDqvI/Aj8AzgX+TVnwdFkPdnE5ZXHWZMqCqr1t/7mTuidQ5rreSFndvymwpe1XGiz/KWVh2R2UKQgTKUFpI3YH7qUE69MoV2dYoSo7vHp+taRXgH9RFr818t1YnhJgT6Yc21WB7zTYp4iIiOillra2tu5rRUSfaTlxZr9/6dpG5WRLRETMVVr6o9H83y5igF2z9nWMGDFisLsRERHR9BLIRock7Qic1UnxnrU3VRhsks6k3CihI+vYnjiQ/YmIiIiBkakFEQNs/PjxbcnIRkTEfKZfphZksVdERERENKUEshERERHRlBLIRkRERERTSiAbEREREU0pgWxERERENKVctSBigPX3DRFyM4SIiJgL5aoFERERERHtEshGRERERFNKIBsRERERTSmBbJOTdISkm5t9H53sd5ik6ZJW6qP2Jkga0xdtVe21Sdqwr9qLiIiInsmqkPmMpFZgjO1x/biPscBM2yN7047ticCQHuxzR+CN6qV/A+MoY53dm35ERETE3CkZ2ZiXXGB7iO0hwBbAbkCvgumIiIiYeyUj2wSqLOr5wJbAx4CHge/a/msHdfcFvgt8AJgMXETJSs6SNB4YBpwr6UzgdttbSloIOAjYFVgOeADY17Y76c/iwJHA14AlgbuA79t+VNJBlMwokravNlkS+AhwKrA+MKsaw9a2J3cx7uHAE8Aqtp+W9F+NtmH7n5JuA9brov1fApsDSwFPAUfbvrgq2wS4uRrLMcAywA3At21P66CtZYGrgQeBvWzP7Gy/ERER0TeSkW0eewH7Au8DrgB+L2loB/WeBrYChgJfBnanykraHgFMBEZWmcstq21+XNX9IvB+StB8vaSlO+nLOcCHgE8DKwB3AtdKWtj28ZTg+T/ZUduzgNOBG6v+Lw/sD7zZw2PQcBuS1gU2BG7ror3bKD8MlqIE5mMlrVNTviDlx8NHgbWA/wL26WBfawG3A7+3PTJBbERExMBIRrZ5nGf7bgBJxwHfA7apr2T7ypqnf5N0IbAZcFZHjUpqoQRnW9t+vH1fkvYDtqbMM62tvwzwTWBV2y9Ur/0Y2A/4FJ0Hjm9SssGr2G4F7uhuwHPQxrck/Tflc/1eYHz11yHb59U8vVTSKGATSla13SG2pwPTJf0WUF0zGwM/AEbZvqjHI4qIiIg5lkC2ebS2P7DdJmkisHJ9JUk7UDKVq1Pe30XoOmhchrKgaryk2jtOLdxR+8Bq1b/3S++I6RYGVuliP7sBhwK3SXqLEiD/uIfZy+7auLB9gVkVcJ8BXA98vr4hSQsARwDbUbLKbZTgd9maarNsv1jzfAawRF1T+wD/AC7rwTgiIiKiDySQbR7D2x9UWdRhlGkEa9W8vgoluPsqcJ3tNyWdyDuziPUr+F+iBGibdzTntgNPVv+uWRfk1XrXVQJsP0GZ5oCk9SlTBJ6gTGNoSE/asP2SpF9RAvT32365rsoOlCkXWwIP2p4tyfT8Fnq7AgcDV0r6hu03uqkfERERfSRzZJvH7pI+Lmlh4EBgceB3dXWGUN7TF4G3JH0a+FZdneeBNduf2G4DTgZOlLQmgKQhkv5PR9dvtT0JuBg4Q9IHqvpLSfq/ktovlfU8sHqV9aSqs0tNe1OAmZQFWw3rSRuSlqKM/WnKpbjqDa22fxFYQNLulLmwPTWdMid5IeB3kt47B21ERETEHEgg2zzOBk6hXIlgO8qc1qm1FWw/BBxOWT0/BTgEuKSunaOBnSRNlnRd9Vr7NldLegX4F2VxWWefjz2AfwITJE0D/g58nXJ6HuBcymn6lyVNkbQgsClwt6QZwF8owfCFPTwG3bWxS3UDhenAo5RpAF+qgvV6F1AWqT0KPAOsA9zaw/4AYPt14CvAy8BNVRAdERER/aylra2j/8fH3GQgbmIQA6flxJn9+qVrG5UZQxERMdfp6dS9hiQjGxERERFNKambGFTVNICO3Gp7qwHtTERERDSVTC2IGGDjx49vGzFixGB3IyIiYiBlakFERERERLsEshERERHRlBLIRkRERERTSiAbEREREU0pgWxERERENKUEshERERHRlHL5rYgB1l939sodvSIiYi6Wy29FRERERLRLIBsRERERTSmBbEREREQ0pQSyEREREdGUEshGlyQ9IGm7Qdr3mZJO66O2NpE0sy/aqto7QtLNfdVeRERE9FyWOTchSUcAG9revL/3ZXvd/t5HF/veq5F6koYDTwCvAm3ATOA+4ADb7rcORkRExKBKRjbmJWvbHgIsB/wFuHqQ+xMRERH9KBnZQSKpFTgf2BL4GPAw8F3bf5W0EDAa2BVYGrgH2Nf2P6rT/KOBBSRNr5r7CPAmcC7wCWAR4H5gP9t3V/v7L+BUYH1gVrW/rW1PlrQ9cDiwMiWreb3tXWr6Ocb2OEmbADfb/s/npj47LKkN+EHV9w9TMqPfAL4O7A8sDpxp+0cNHKOxwEzbIyW1AEcDuwFLAC8DJ9k+tX47229KuhA4WNL7bP+7g7Y3A44B1qJkcG8B9rE9qSqfANwNDKe8R5OA/W13GBxL2g04Cvia7Tu7G1tERET0XjKyg2svYF/gfcAVwO8lDQUOBHYGvgSsANwK3CRpqO3LKAHYBNtDqr/HKe/lGcCq1Tb3AFdJWrja1+nAjdW+lqcElW9KWhy4ENjb9hLA6pSAuDd2Ar4CLAu8DvyBEpB/ENgUGCXpcz1scwtgF+BTVT83AG7rqKKkxSiB9IPA5E7aewP4ftXH9YGVgJPr6uwCnAQsCZwGXFAdr/r9HQUcDGycIDYiImLgJCM7uM6ryZgeB3wP2IaSdTzO9sNV2ZHASGBr4JKOGrI9EZjY/lzSGGAfYE1KQPcmMAxYxXYrcEdVb3HgLeBDku6tspe39nJcJ9l+umr/CuBY4Ajbs4H7JN0HCPhzD9p8E1gMWFfSi1XmdFJdnQeqjPAQYDqwo+0O76JluzYIfl7S8ZQMea3LbN9ejeNs4GeU43lfVb6IpHGU4/rZjjK/ERER0X+SkR1cre0PqoBrIuX0/iqUxUvtZbOruqt01pCkZST9StJESa8AT1VFy1b/7kZ5v2+T9ISkoyQtZPtVSub3i8Bjku6W9M1ejuu5msevApOqMdS+tkRPGrQ9gTKlYgwwSdKNklRXbV3bSwGLAv8NXCapwwVxkj4h6QZJz1fH6xLePlbvGoftGdXD2n5/GNgOODxBbERExMBLIDu4hrc/qOaADgOepgShtWULVM/bg9PaoLDdT4EVKafeh/J20NsCYPsJ27vbXhnYlpLh3bkqm2B7W2AZyjzUcZI+2ME+pgELSlq05rWVGh9u79g+2/aGlKkT9wJXdVJvlu2bKfOAv9xJc5dSpl+sVR2vHeagS/dRAtkrOwuYIyIiov9kasHg2l3Sb4C/A/9DWQj1O0rQepCkP1EysQdT3qvfVds9DwyTtIjtN6vXhlIynZMlDQGOq92RpF2Am2w/C0yhLHCaJWl5YEPKIq6pkqZUm8zqoL+qwFV0AAAeAUlEQVSPUE7Zj5T0C+CzlMznPb06Cg2QtAEl03oXZX7rtE762P6jYBNgXeDMTpocCkwFpkkaBhwyJ/2yfZWkGcDlknbrbDFYRERE9L1kZAfX2cAplAVJ21GuIjAVOIFyqvtG4AXKAqktbb9SbfdrSnb2eUlTJK0GHEa57NTLlCsW3M47A71NgburoOsvwMWURV4LAHsDrZKmURaF7VLNo30H29MoUxQOoASB+wIX9MmR6N4QymKslyhj3JJyzGr9s7qSwzTKsT0KOK+T9r5DyUpPo2R2fz2nHbN9AyXze76kHee0nYiIiOiZlra2DtfCRD+rvazVYPclBlbLiTP75UvXNionWCIiYq7V0h+NJiMbEREREU0pKZwYNJJGU65E0JGtbPf2MmARERExD8vUgogBNn78+LYRI0YMdjciIiIGUqYWRERERES0SyAbEREREU0pgWxERERENKUEshERERHRlBLIRkRERERTSiAbEREREU0pl9+KGGD9cWev3NUrIiLmcrn8VkREREREuwSyEREREdGUEshGRERERFNKIBsRERERTSmBbMz1JA2TNF3SSoPYh+skHdRF+U6SWgewSxEREfO9LHWOuZ7ticCQQe7DVoO5/4iIiHi3ZGRjriZp4cHuQ0RERMydkpGNAVedgh9je1z1fDjwBLAKcDSwMPAWsC1wmaTj2sttP11t81VgNLAG8Dpwnu0fdbPffYHvAh8AJgMXVf2YVZUvCxwLbAEsBTwK7GD7n5ImADfbPrqquwFwBvAh4F7gxt4el4iIiOiZBLIxN/o68C3g28CiwHK1hZK2Ai4AdgCuBxYHPtJAu08DWwGtwMeqbVuBsyQtAFwDPAt8EngRWA+YVt+IpCWB64ATgJ8BHwXGUwLqiIiIGCAJZGNudJvty6rHr0qqL/8BcKbta6vnrwC3ddeo7Strnv5N0oXAZsBZgKq/ZWxPrerc30lT2wAzgONstwF/lXQesGN3fYiIiIi+k0A25kat3ZQPB37T00Yl7QDsD6xO+ewvAtxR0+akmiC2KysDT1ZBbLsnetqfiIiI6J0s9orBMA14b83z+stqze5m+1ZgzZ7sUNIqwDjKHNwVbS8JnM7b935uBZaTNLSB5p4BVpVUe9/o4T3pT0RERPReMrIxGO4GdpB0EfAe4NAebn86cKmk/wVuopoja7ur6QVDKD/cXgTekvRpyjzch6pyA/cA50r6PvASZY7sS7afrWvrWuAU4EBJPwfWp8znfaOH44iIiIheSEY2BsMYYBbwHDABuLQnG9v+HSVwPAb4N/BP4P90s81DwOHA1cAU4BDgkpry2cAI4DXKVQimAOfTwfVrbU8Btga2o1z94BTgFz0ZQ0RERPReS1tbW/e1IqLPtJw4s8+/dG2jcnIlIiLmai3dV+m5ZGQjIiIioikljRPzDElnAjt1UrxOdavbQXfN2tcxYsSIwe5GRERE00sgG/MM23sBew12PyIiImJgZGpBRERERDSlBLIRERER0ZQSyEZEREREU0ogGxERERFNKYFsRERERDSlBLIRERER0ZRyZ6+IAdbXd/bKXb0iIqIJ5M5eERERERHtEshGRERERFNKIBsRERERTSmBbEREREQ0pQSy8xhJwyW1SVq5en6EpJsHuA/DJE2XtFIftHWmpNP6qF+bSJrZF21V7Q34sY2IiIi3Zblz9DnbE4EhfdTWXo3UkzQceAJ4FWgDZgL3AQfYdl/0JSIiIuYuycj2gqQWSfkxMHdZ2/YQYDngL8DVg9yfiIiI6CfzbRAmaR/gf4BlgFeAC2yPljQM+BmwISWzN56S1ZtWbdcG7Ad8C1gX+IKkvYCZtkfWtN8KjLE9TtKuwBjgdOAAYEngLOCnwNnAFsCzwEjbtzXQ918CmwNLAU8BR9u+uItNWiT9HNgZeA04zfaxVVubADfb/s9nQdIRwIa2N68Z8w+AXYEPUzKd3wC+DuwPLA6caftHVf3hlOzoKrafrtrbCLgTaD9Gv7B9eANjHUt1bCW1AEcDuwFLAC8DJ9k+tX47229KuhA4WNL7bP+7g7Y3A44B1qJkcG8B9rE9qSqfANwNDAe2BCYB+9vuMDiWtBtwFPA123d2N7aIiIjonfkyIytpLeBYYBvbS1AC0mskLQb8AXgQWA1YB1gZOLmuiW8D21FOn/+twd2uSgk8V6cEyT8ArgNOAJYGrgJ+2WBbtwEfq9o7EhgraZ0u6m8MvACsCHwZ2F/SNxvcV7udgK8AywKvU47T0sAHgU2BUZI+100fJgIrAdsCo7up35EtgF2AT1Xv2waUY/Eu1Xu5K+W9nNxJe28A36eMaf2qb/Xv9S7ASZQfH6cBF0havIP9HQUcDGycIDYiImJgzK8Z2ZmUO0ysK+lJ21OAOyT9N9Bi+7Cq3muSDgVul7SH7VnV6yfafqx6PEtSI/t8Dfix7dnAfZLuA/5q+w4ASeOAH0pa0vbUrhqyfV7N00sljQI2oQRtHXkOOM52G3C3pLMpQV5XWdx6J9l+uurrFZQfAkfUjUfAnzvZ/hHbZ1aP75B0bzf1O/ImsBjlfXuxypxOqqvzQJVBHgJMB3asxv0uddnv5yUdD5xfV+0y27cDVMftZ8CalKw0wCLVezcM+GxHmd+IiIjoH/NlIGv7cUk7At8FzpV0PyWzuRowTNKUuk3agBWAZ6rnrXOw20lV0NfuVUqAWfscyinzTgNZSQsAR1AywitUfXsvJavYmSfrgrlW4KuNdrxS39eOxrNEg9sDzOim/rvYniBpNGWaxuWS7gBG1y3mWreazrAg8AXgt5K+YvtdVxeQ9AnK1IKPUqZHtPDuRWr/6bftGdWPltp+fxj4DLBlgtiIiIiBNV9OLQCwfZXtLShzZC+nLAp6gZI5XKrubzHbz9RsPruuuWmUYBKAagHYcv3U9R0o80y/BixteylKdrCrexivWs0vbTcceLp6PA1YUNKiNeW9vmxWf7F9tu0NKUH8vZQpGR3Vm1UFrw9TplN05FLgHmAt20Mpx7an7qP8qLhS0uZzsH1ERETMofkyIytpbUr29U+UU/5TKZnNK4BDq6zfqZRT0ysBG9j+TRdN3g0cL2k1yqKtI4GF+6n7QylTI14EFqgWkn0UuLaLbVYEDqwWfK0H7EFZpAXwCGWcIyX9Avgs8N+UAG+uImkDYFHgLsr81mnArE7qtlCmW6wLnNlRHcqxnApMqxb5HTIn/bJ9laQZlCzxbp0tBouIiIi+Nb9mZBcBDqOcNp4C7ENZaf4qZeHSOpRM3lTKSvaPddPeRcA1lODvMcqipme63GLOXUBZ/f9otY91gFu72eZWSjD7PCXgPZlqfmx1NYbdKFdTmArsW+1jbjSE0veXKFcs2JKSDa31T0nTKUHu2ZSrCJxHx75DyW5Po2R2fz2nHbN9AyXze341bSUiIiL6WUtbW4frYCKin7ScOLNPv3Rto+bLEysREdFcupoCOcfm14xsRERERDS5pHLmQpIeoFx3tt6Tttcd6P70p2o+8uhOirey3d20iaZzzdrXMWLEiMHuRkRERNPL1IKIATZ+/Pi2BLIRETGfydSCiIiIiIh2CWQjIiIioiklkI2IiIiIppRANiIiIiKaUgLZiIiIiGhKCWQjIiIioiklkI2IiIiIppRANiIiIiKaUgLZiIiIiGhKCWQjIiIioiklkI2IiIiIppRANiIiIiKaUgLZiIiIiGhKCWQjIiIioim1tLW1DXYfIuYriy666D/efPPN1we7H/1loYUWWmbmzJkvDXY/+kvG17zm5bFBxtfs5vXxLbLIIou98cYb6/V1uwv1dYMR0bX111//ddsa7H70F0nO+JrXvDy+eXlskPE1u/lhfP3RbqYWRERERERTSiAbEREREU0pgWzEwDt7sDvQzzK+5jYvj29eHhtkfM0u45sDWewVEREREU0pGdmIiIiIaEoJZCMiIiKiKeXyWxFzSNJawAXA+4GXgZ1t/6uuzoLAKcAXgTbgWNvn9qZsoPTB+A4FtgdmAW8Bo23fUJWNBTYH2q+Z+GvbP+nvMdX1vbfjOwL4HvBsVf3PtveuyhYHfgl8ApgJjLJ9bX+Pqa7vvR3fr4CP1FT/CPAV29d0NfaB0ODYtgSOAdYHTrU9qqZsXvjudTW+eeG719X4jqD5v3tdjW+u/e5V/WtkfF19Bjt9j+bk/UtGNmLOnQmcbnst4HTgrA7q7AisAawJfAY4QtLwXpYNlN6O7y7gk7Y/AuwOXCbpPTXbHmv7Y9XfgP6PtNLb8QH8qmYMtf8zGQW8YnsNYARwrqQh/TGILvRqfLZ3bh8bsAswGbihZtvOxj4QGhnb48BI4IQOyuaF715X45sXvntdjQ+a/7vX6fjm8u8eNDa+rj6DXb1HPX7/EshGzAFJywEfBy6pXroE+LikZeuqbgecY3u27ReB3wJf72VZv+uL8dm+wfarVb37gRbKL/hB10fvX1e2o/qPe5WpMLBVX/S9Ef0wvm8DF9l+o7/63KhGx2b7Udv3UrI69Zr+u9fV+OaF7143719XmuK79//bO/Nou6r6jn++ZCiEEMCSoBAylSjYiEAOFkvAJyiosDAolMGAMQgJlaWVJbUNg6kgM2JZFZkTCJQIVEIDGmaWwlrFHsASZUgT8hIIxARIQgKUcfeP377Jfid3evfdN9zw+6x11j1nz7+99++c39nDPZ2Qr8/oHnRKvmp9sFobdbr93JB1nMbYBVie5/n7APH3peieMgJYmlwvS8I06tcTNEO+lBOAxXmev5i4nZZl2YIsy+ZmWbZ784peF82S75gsy57KsuzeLMs+24l43U3T2i/LsoHAccD1hbiVZO9u6pWtGpuD7tVLq+peLVpd92rSB3UPGpOv2Aebqn9uyDqO061kWfY54Bzg2MT5DGDXPM8/BfwKmB/XJrYSVwKj49TZxcCdWZb1iVGvJjMRWBZHj0p8WGRvaVz3Wp6W170KfbCpuCHrOI3xArBz6QEQf3eK7inLgJHJ9YgkTKN+PUEz5COOFtyEbVR4ruSe5/nyPM8/iOc3AoOB4d0gRyW6LF+e5yvyPH83nt8X3cfVitdDNKX9IlMojAjVkL27qVe2amwOuleVzUD3KrKZ6F499DXdg07IV6kP0mT9c0PWcRogz/OVwB/Y+JZ5LPBkXFOXchtwUpZlW8Q1RBOB27vo1+00Q74sy/YBfgkcmef5E2mkLMt2Ts4PwXa2Lu8OWcrRJPlSGfYERgHPJfGmRr+xwD7A/G4RpgxN6p9kWTYc2B+4OY1UQ/ZupROyVWNz0L2KbCa6V5HNRPeq0hd1D+qXr1ofpHobdbr9/O+3HKdxpgE3ZFl2Nrar9ASALMt+DZyd53kOzAb+Bij9NcmP8zxfEs8b9espuirfFcBWwFVZlpXSPD7P8wUx3R2BD4DXgcPzPO/spo6u0lX5zsuybDxmCLyDybYi+l0MzMqybFH0PznP83U9IVRCV+UD2zE9L8/z1YW0q8neE9SULcuyCcAcYAigLMuOAU7M7S+AWl73asjX8rpXQ76W170a8kHf1T2o795SrQ9Wa6NOt59/otZxHMdxHMdpSXxpgeM4juM4jtOSuCHrOI7jOI7jtCRuyDqO4ziO4zgtiRuyjuM4juM4TkvihqzjOI7jOI7Tkrgh6zhOTSQdIul3yXWbpPZeLFKPIWmWpGubmN4oSSG5HippqaQd6og7TdLsZpWlFZC0v6Q1vV2ODyOSJnVGz5utK051uks3Gmj3CySd0+xy1Isbso7jVEWSgMuAH9UId4qkP0p6XdJqSbmkoxP/dkmTysTbxF3GwpjW4IJfm6QgaX08XpI0U9JHuiZp7xBCWAX8O7Xrd2vgx8CMHihWnyGE8LsQwna9XY5KSJoh6f7eLseHge6qa0kPSzqz2el2N0Xd6MW+eCHwHUk71wzZDbgh6zhOLQ4GBgIPVQog6VjMEDsR2Bb7ZOH3sT/LboTPA2OwP20v943u90MIg0MIg4EJwGeBnzWYV1/geuBbkoZUCTMJWBBCWNxDZeqApH6S/JnhOE4HQgirgd8Qv8jV0/hNyXH6EHF08kxJD8XRxgWS9pB0rKRFktZKulZS/yTOCEm3S1oh6WVJV0vaJvE/T9LzMb3Fkv4h8RsVRzePl/S0pHWS7pX0saRYE4H7Q/Wvp/wt8NsQwmPBeCuOFtzbYFVMxT5LOJsaN8cQwvPAXcBeRT9J/WOdTCy4z5I0M54fJOmxOIq8StIcScMq5Rfra0Jy3SbpveS6v6TpcUR5jaRHJWXlU9sgw/8CrwBfqBJsInBfoSzfk/RsbLdlks6X1C/6XSxpbiF8Wwy7dbweJ+meKHcp/oDoV+obJ0p6GngTGCbpGEn/E0fLX5Z0VSm9GO+jkubFvrowxg+SRiVhToqj92slPSnp4EpCl6nfWZJmS7o+1u/yqB97SvrvKN9DknZK4rRLOlvSI1EPckn7JP5V+4CkAbFNn4vpL5Z0pGzGYTrQpo0zBGMqyPG5mMfa2GZTE782Se9JOjqmvVbSrakel0mvkXvFHpIejHI+H+P3S/w/E+tmvaRHsJfJNM9Bki6RtETSa5LmS9q1UhnLlPkvJd0ou1etkHSDkpkUFWZnkj44vFJdS5oc5f1h7I8rJV1aph8PT9KdLGlRPP837FOwZ8U0y37uVTba+YCkC2MfeVXSaZJGxjpdJ+lxSbsncbqkK0lfvybp65v0m3hetX4KsnRYAtKkdr8Pu0f1PCEEP/zwo48cQDv2aczdgQHATcBi4Gpga2AEsBL4Rgy/JbAIm3LeCtge+DVwfZLmJGyEVMCBwFvAIdFvFBAwQ3AH7HOJjwLXJPEfA75bKGcb0J5cHwX8H3AucBCwXQXZJtVyB4YCbwNfw4zTAIwv5P1ecr0r9q3x6yvU6UXA3OR6MLAe2D9eT8C+590f+CjwW+CWJPws4NrkOgATqpTnJ7HOxgD9sFHqV4Dt0zovU855wLlV+safgcMLbl8HRse23SuGmRr9Pol9wnJoEv4G4Lp4Pgx4FXtRGAjsDOTA2YW+8UCsl4FRni8Df40NhOwKPA2cn+TxAPAfsS8NAx6O6YyK/idhffbTMY2vxPbYtYLcxfqdhfXhQ2P8aTH+fwLDgUHAg3Tsw+3AS8D4KMc/AauAIXX2gQujnHvEuh4O7BH9ZmAvetX0enQs8+SYx77Aa8BRiYwBuA7rnzti94Ezmniv2Db2j7OAv4jxngdOT/xfjXUzMNbHCjrq+c3YvWLHGOZfgGeBAeV0pUyZ52P9fPt43A3cXeVeMCrWy/BKdR3r9F3g59g98K+AhcD0cmkkcRYl1w8DZ9Zowxkxn2+zUQ/eB+4vtMF9SZyu6sosrN8cHtP4WizDyAq6Ual+FhXcNrRTM9o9hhmPzaANrFaP3XH0aGZ++OFH9SPeyE9Prr8Sb2ypMXIrcFk8PxJYXEhjPGYI9quQx+3ARfG8dJPfJ/H/DvBkcr0QmFxIoy290UW3w4BfYQ/L97GlCOMKsr0BrCkcH9Dx4fWP2AO49HB8AriqkHeIcVcDS4ArKWM8x/C7YwbdsHg9BVhYpQ0OA1Ym1xtu+vG6oiGLGTnrgAMKaS4oyUhlQ/Zm4Ioq5XoHaKvRfy4Bbk2uHwO+H8+3ifW/X7z+AfBgIf7XiQ+9pG8cUCPPU4Hfx/PhMc6YxP8gOj6c/wicUEhjHhUMCcobsqnxMyimf1Ti9vd07MPtwDnJtYBlwHG1+kAMux44tELYGdQ2ZKcDjxbczgfuKfTpVM8vBu6okmY7nbtXHAe8QPw0fXSbCjwXz78R6yT1/wlRz7EX3QCMSPy3ANYS9YEqhiz2Mh2AsYnbJ6LbxxKZGjFk3wYGJW7fJup4MY0kTiOG7J8KbivLtMHqJurKLJK+Ht1WAV+toBuV6qeaIdvldo9uY2O4YdXqsTuODVMOjuP0GV5Ozt/E1oOuKriVphxHAyO06c7VgI0sLZf0XWwUbDj2UN4K21xUKc83kvTBjMVqazctwxDuwt7akbQbcAVwl6TRId7psNHCm9J4SnbHSlIs600hhHej83XABZJ+EEJYF93eD3VuAAohPCPpCWxk+qfAt4CZSZ7jgfOwEcJBWB0NLpNUPewQ485T8s8E2GjN8PJRNjAEM8orsUk7yNYmn4aN/vbHRkv+KwkyEzgF26z3d8CLIYRHo99oYL9C3xE22pTSXsjzi8DZwG7YyF4/7IEONqoL9mAssbSQ3mjg55IuT9z6Ay9SPxv6awjhTes2m+hNcVq+PYkTJC0jtkmNPjAUG+Fc2InyFdmFTdt2MfDV5Lqo50U9LEdn7hW7AEsTXSyVYZd4PryMf1rm0fH3qVjfJQYkaVSjFCZNc3Hi9zKNszKE8GZy3U5tfWuEYhnfpEq/a4KulMuznn7RGZrV7kPYOMDQo/gaWcdpbZZiIw/bFY4tQwjLJe2HTYtOBXaIxt887EFdL09i09R1E0J4FjOeRmJTiPVyIDYFN6W0jg6bxhqMjSg1ykxgclzXtS9wY+I3Bxv1/XgIYQjlN5elrMcMmxI7JeevYA+aLxTaY+sQwgU10h2H1XUlOrSDpF2wqcxzsRGtbbHp1bRt5wAfl7Q3NjIzM/Fbio3epOXcNtgGupQPkjwHAnNjuiNiff0wyXN5/B2RxE/PS/lOKeQ7OIRwShXZm8Go0kl8YRrBRuO5Wh9YhRkoYyuk+0EF95QX0vwjY6J7T/ECMFIdrZG0DMvL+I9KzktG1thC2w0KIdxSZ/7FNMcU/NZRWbegcl0PkzSoUO5S25ZefhtJt2GapCudpZwcxTqFjvI3q93HYSPW7zRY9oZxQ9ZxWpu7gIGyjSjbyNhZ0hHRfwg2zb8KCJIOxdZtdYa52JRXRSRNkXSU4n+hxo0V04CnQwivdSKvqdj6xN2APeMxDjPATu5kuVPmYAby5dgatuWJ3xBsmmydpBHYWrFqPA58U9LAuCnjtJJHHNX4V+ASSWMBJA2W/Q9v8eG5gWhgD8XW21ViLh03gw3G7uGrgHcl7Qscn0YIIawB7sCM3X2xNbIlbgSy2HZbStoibg75UpUyDMRGllaHEN6S9ElsurSU34vYNO0FsT8OBYp/a3QZMEO2OUuStpI0IY7idydTJO0t2wR0Ojbyenf0q9gHYpteAVwk2xwn2eajPWKQFdisyMAqed8CjJd0gmwz4Gewvn5dUyWszt1Y202PffcTmGFVKsNdWJ86Xba5bW9sfTcAIYSV2EzOFYp/syRpO0lHqPAXeeUIIbwE3AtcGuNtD1wK/CaEUBp1fBw4NurMUGw9b0qlut4CuDD2pTHYspkbYr6vEl+eZP+88Sls1qeYbt2b1uqkGbrSWcrVzx8wQ/+wqONHAAck/s1q9y9i96gexw1Zx2lh4nTagdhI3bPYw/gBzAAEuAczWH6PjRYeiRk2neEe4D1JbVXCrMamsJ+R9Aa2NnMNttawLmS7xCcCl4QQVqQHNqq8l2rs/q9ECGEtJveXsb+6SjkZW1O3Dlvje1uN5E7FHnqvYWsQZxX8fwTcCdwp6XVsQ840qt9vpwCzYjkrMRv4dHxQE0J4JslrDWZ8lRsZm4nJfU9iMBDr9fNYnbdjbXgHhR3LKSGE9Vg7XyRpPTYCXFymchxmJL6IbRws1efbMY1rsA14M2OeyzCDZUAV2ZvB1diLzGrgaGzNa6m+a/WBM7C2nhvDPMxGw+c2bERxhWxn+ehCXEIIS7D1k6diG2tmA2eFEG5tlnC1iLIejL0M/ZmN94afRv812Aa6o7E6uhz4RSGZk7CNlQ9LWoet/T4Km1Kuh0lY/T2H3a/WACck/mdiL94vY3U8pxC/Ul0vxfrbEuzeMx/rYyW+id2L1kZ5iy8Ql2EvdWsk/alOWarSDF1pgE3qJ9jf9X0P6/+vAV/CNpiVytnldpe0Hda/r2yw3F1CHZdFOI7jbEocpZseQjggXrdhhteo3ixXKxJHcZeEEBSvh2L/FpAV1jeWizsN26x1fLVwfQlJh2DG9lahlx44snXYZxbXZzutj6TJWNs2e0S1x+kLutIIks7H1mf3ykclfLOX4zg1CSHMx0Y5nCYTjdeRdYa9kl4a9agXSXtia/UWYBtFzgV+2UoPZsfpCTYXXQkh/HNv5u9LCxzHaYR2WvtLWr3JGmwD2+bK9tj0/HrgEeApbGrTcZyOuK40AV9a4DiO4ziO47QkPiLrOI7jOI7jtCRuyDqO4ziO4zgtiRuyjuM4juM4TkvihqzjOI7jOI7Tkrgh6ziO4ziO47Qk/w9qL79ZxaRz+AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x684 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary_plot(primal_effects, Xtest[:num_foreground_samples], plot_type='bar', xlim=(0.0, 0.2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x684 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary_plot(interaction_effects, Xtest[:num_foreground_samples], plot_type='bar', xlim=(0.0, 0.2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "import altair as alt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 118)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "primal_effects.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_df = pd.DataFrame({\n",
    "    'Age': Xtest['age'],\n",
    "    'Sex': Xtest['sex_isFemale'],\n",
    "    'Systolic Blood Pressure': Xtest['systolic_blood_pressure'],\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v3+json": {
       "$schema": "https://vega.github.io/schema/vega-lite/v3.4.0.json",
       "config": {
        "mark": {
         "tooltip": null
        },
        "view": {
         "height": 300,
         "width": 400
        }
       },
       "data": {
        "name": "data-20025a40a40d81054e701c429b5eb2ee"
       },
       "datasets": {
        "data-20025a40a40d81054e701c429b5eb2ee": [
         {
          "Effect Type": "Primal Main Effect",
          "Feature": "monocytes_isBlank",
          "Feature Value": -1.2154426639531586,
          "Sampled SHAP Value": 0.006438007354736328
         },
         {
          "Effect Type": "Primal Main Effect",
          "Feature": "height",
          "Feature Value": -1.1876545521582742,
          "Sampled SHAP Value": 0.005178016662597656
         },
         {
          "Effect Type": "Primal Main Effect",
          "Feature": "urine_pH",
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",
      "text/plain": [
       "<VegaLite 3 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/troubleshooting.html\n"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max_num_features = 10\n",
    "patient_index = 0\n",
    "ind_df = pd.DataFrame({\n",
    "    'Primal Main Effect': primal_effects[patient_index],\n",
    "    'Interaction Effect': sample_shap[patient_index] - primal_effects[patient_index],\n",
    "    'Sampled Shap Value': sample_shap[patient_index],\n",
    "    'Feature': Xtest.columns,\n",
    "    'Feature Value': Xtest.loc[Xtest.index[patient_index]]\n",
    "})\n",
    "ind_df.sort_values(by=['Sampled Shap Value'], inplace=True)\n",
    "ind_df = pd.concat([ind_df.tail(max_num_features), ind_df.head(max_num_features)])\n",
    "ind_df.drop('Sampled Shap Value', inplace=True, axis='columns')\n",
    "melted_df = pd.melt(ind_df, id_vars=['Feature', 'Feature Value'], value_name='Sampled SHAP Value', var_name='Effect Type')\n",
    "\n",
    "base = alt.Chart(melted_df).mark_bar().encode(\n",
    "    alt.X('sum(Sampled SHAP Value):Q'),\n",
    "    alt.Y('Feature:N', sort=alt.EncodingSortField(\n",
    "            field=\"Sampled SHAP Value\",\n",
    "            order=\"descending\"\n",
    "        ))\n",
    ")\n",
    "\n",
    "base_descending = base.transform_window(\n",
    "    rank='rank(sum(Sampled SHAP Value))',\n",
    "    sort=[alt.SortField('sum(Sampled SHAP Value)', order='descending')]\n",
    ")\n",
    "\n",
    "base_ascending = base.transform_window(\n",
    "    rank='rank(sum(Sampled SHAP Value))',\n",
    "    sort=[alt.SortField('sum(Sampled SHAP Value)', order='ascending')]\n",
    ")\n",
    "\n",
    "(base_descending.encode(\n",
    "    alt.Color('Feature Value:Q', scale=alt.Scale(scheme='viridis'))\n",
    "))  | base_descending.encode(\n",
    "    alt.Color('Effect Type:N', scale=alt.Scale(scheme='dark2'))\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 118)"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_shap.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 118)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "interaction_effects.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature = 'age'\n",
    "interaction_feature = 'sex_isFemale'\n",
    "shap.dependence_plot(feature, sample_shap, Xtest[:100], interaction_index=interaction_feature)\n",
    "shap.dependence_plot(feature, primal_effects, Xtest[:100], interaction_index=interaction_feature)\n",
    "shap.dependence_plot(feature, interaction_effects, Xtest[:100], interaction_index=interaction_feature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature = 'systolic_blood_pressure'\n",
    "interaction_feature = 'age'\n",
    "shap.dependence_plot(feature, sample_shap, Xtest[:100], interaction_index=interaction_feature)\n",
    "shap.dependence_plot(feature, primal_effects, Xtest[:100], interaction_index=interaction_feature)\n",
    "shap.dependence_plot(feature, interaction_effects, Xtest[:100], interaction_index=interaction_feature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature = 'urine_hematest_isNegative'\n",
    "interaction_feature = 'age'\n",
    "shap.dependence_plot(feature, sample_shap, Xtest[:100], interaction_index=interaction_feature)\n",
    "shap.dependence_plot(feature, primal_effects, Xtest[:100], interaction_index=interaction_feature)\n",
    "shap.dependence_plot(feature, interaction_effects, Xtest[:100], interaction_index=interaction_feature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature = 'sex_isFemale'\n",
    "interaction_feature = 'age'\n",
    "shap.dependence_plot(feature, sample_shap, Xtest[:100], interaction_index=interaction_feature)\n",
    "shap.dependence_plot(feature, primal_effects, Xtest[:100], interaction_index=interaction_feature)\n",
    "shap.dependence_plot(feature, interaction_effects, Xtest[:100], interaction_index=interaction_feature)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
